{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ams_Houes作业要求：\n",
    "1. 对数据做数据探索分析\n",
    "2. 适当的数据清洗（异常值处理和缺失值处理）\n",
    "3. 适当的特征工程\n",
    "4. 用线性回归模型对房价进行预测（最小二乘、岭回归、Lasso），注意正则超参数的调优。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "第一步：获取数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train Data Shape: (1460, 81)\n",
      "Test Data Shape: (1459, 80)\n"
     ]
    }
   ],
   "source": [
    "# 导入工具包获取数据的相关工具包\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "# 读取文件数据\n",
    "train = pd.read_csv(\"Ames_House_train.csv\")\n",
    "test = pd.read_csv(\"Ames_House_test.csv\")\n",
    "# 数据集的大小\n",
    "print(\"Train Data Shape:\", train.shape)\n",
    "print(\"Test Data Shape:\", test.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "第二步：对数据做数据探索分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Id</th>\n",
       "      <th>MSSubClass</th>\n",
       "      <th>MSZoning</th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>Street</th>\n",
       "      <th>Alley</th>\n",
       "      <th>LotShape</th>\n",
       "      <th>LandContour</th>\n",
       "      <th>Utilities</th>\n",
       "      <th>...</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>PoolQC</th>\n",
       "      <th>Fence</th>\n",
       "      <th>MiscFeature</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>MoSold</th>\n",
       "      <th>YrSold</th>\n",
       "      <th>SaleType</th>\n",
       "      <th>SaleCondition</th>\n",
       "      <th>SalePrice</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>65.0</td>\n",
       "      <td>8450</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>208500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>80.0</td>\n",
       "      <td>9600</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>2007</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>181500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>68.0</td>\n",
       "      <td>11250</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>223500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>70</td>\n",
       "      <td>RL</td>\n",
       "      <td>60.0</td>\n",
       "      <td>9550</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2006</td>\n",
       "      <td>WD</td>\n",
       "      <td>Abnorml</td>\n",
       "      <td>140000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>84.0</td>\n",
       "      <td>14260</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>250000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 81 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Id  MSSubClass MSZoning  LotFrontage  LotArea Street Alley LotShape  \\\n",
       "0   1          60       RL         65.0     8450   Pave   NaN      Reg   \n",
       "1   2          20       RL         80.0     9600   Pave   NaN      Reg   \n",
       "2   3          60       RL         68.0    11250   Pave   NaN      IR1   \n",
       "3   4          70       RL         60.0     9550   Pave   NaN      IR1   \n",
       "4   5          60       RL         84.0    14260   Pave   NaN      IR1   \n",
       "\n",
       "  LandContour Utilities    ...     PoolArea PoolQC Fence MiscFeature MiscVal  \\\n",
       "0         Lvl    AllPub    ...            0    NaN   NaN         NaN       0   \n",
       "1         Lvl    AllPub    ...            0    NaN   NaN         NaN       0   \n",
       "2         Lvl    AllPub    ...            0    NaN   NaN         NaN       0   \n",
       "3         Lvl    AllPub    ...            0    NaN   NaN         NaN       0   \n",
       "4         Lvl    AllPub    ...            0    NaN   NaN         NaN       0   \n",
       "\n",
       "  MoSold YrSold  SaleType  SaleCondition  SalePrice  \n",
       "0      2   2008        WD         Normal     208500  \n",
       "1      5   2007        WD         Normal     181500  \n",
       "2      9   2008        WD         Normal     223500  \n",
       "3      2   2006        WD        Abnorml     140000  \n",
       "4     12   2008        WD         Normal     250000  \n",
       "\n",
       "[5 rows x 81 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 查看数据集表字段信息\n",
    "train.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "        text-align: right;\n",
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       "\n",
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Id</th>\n",
       "      <th>MSSubClass</th>\n",
       "      <th>MSZoning</th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>Street</th>\n",
       "      <th>Alley</th>\n",
       "      <th>LotShape</th>\n",
       "      <th>LandContour</th>\n",
       "      <th>Utilities</th>\n",
       "      <th>...</th>\n",
       "      <th>ScreenPorch</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>PoolQC</th>\n",
       "      <th>Fence</th>\n",
       "      <th>MiscFeature</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>MoSold</th>\n",
       "      <th>YrSold</th>\n",
       "      <th>SaleType</th>\n",
       "      <th>SaleCondition</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1461</td>\n",
       "      <td>20</td>\n",
       "      <td>RH</td>\n",
       "      <td>80.0</td>\n",
       "      <td>11622</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>120</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>MnPrv</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>2010</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1462</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>81.0</td>\n",
       "      <td>14267</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Gar2</td>\n",
       "      <td>12500</td>\n",
       "      <td>6</td>\n",
       "      <td>2010</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1463</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>74.0</td>\n",
       "      <td>13830</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>MnPrv</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2010</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1464</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>78.0</td>\n",
       "      <td>9978</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>2010</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1465</td>\n",
       "      <td>120</td>\n",
       "      <td>RL</td>\n",
       "      <td>43.0</td>\n",
       "      <td>5005</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>HLS</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>144</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>2010</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 80 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     Id  MSSubClass MSZoning  LotFrontage  LotArea Street Alley LotShape  \\\n",
       "0  1461          20       RH         80.0    11622   Pave   NaN      Reg   \n",
       "1  1462          20       RL         81.0    14267   Pave   NaN      IR1   \n",
       "2  1463          60       RL         74.0    13830   Pave   NaN      IR1   \n",
       "3  1464          60       RL         78.0     9978   Pave   NaN      IR1   \n",
       "4  1465         120       RL         43.0     5005   Pave   NaN      IR1   \n",
       "\n",
       "  LandContour Utilities      ...       ScreenPorch PoolArea PoolQC  Fence  \\\n",
       "0         Lvl    AllPub      ...               120        0    NaN  MnPrv   \n",
       "1         Lvl    AllPub      ...                 0        0    NaN    NaN   \n",
       "2         Lvl    AllPub      ...                 0        0    NaN  MnPrv   \n",
       "3         Lvl    AllPub      ...                 0        0    NaN    NaN   \n",
       "4         HLS    AllPub      ...               144        0    NaN    NaN   \n",
       "\n",
       "  MiscFeature MiscVal MoSold  YrSold  SaleType  SaleCondition  \n",
       "0         NaN       0      6    2010        WD         Normal  \n",
       "1        Gar2   12500      6    2010        WD         Normal  \n",
       "2         NaN       0      3    2010        WD         Normal  \n",
       "3         NaN       0      6    2010        WD         Normal  \n",
       "4         NaN       0      1    2010        WD         Normal  \n",
       "\n",
       "[5 rows x 80 columns]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "特征说明：\n",
    "SalesPrice：房屋售价（美元），这是要预测的目标变量。\n",
    "MSSubClass：房地产建筑类别\n",
    "MSZoning ：地区分类\n",
    "LotFrontage：房屋到街道的直线距离（英尺）\n",
    "LotArea ：土地的大小（平方英尺）\n",
    "Street：所在道路的类型\n",
    "Alley：所在巷通道的类型\n",
    "LotShape ：房地产形状\n",
    "LandContour：土地的平整性\n",
    "Utilities：可用的工具\n",
    "LotConfig：土地配置\n",
    "LandSlope:财产的斜度\n",
    "Neighborhood:市内的物理位置\n",
    "Condition1: 靠近主干道或铁路\n",
    "Condition2: 靠近主要道路或铁路（如果还有第二个）\n",
    "BldgType: 住宅类型\n",
    "HouseStyle: 住宅风格\n",
    "OverallQual: 整体材质和完成品质\n",
    "OverallCond: 总体条件评级\n",
    "YearBuilt: 最初建造日期\n",
    "YearRemodAdd: 重建日期\n",
    "RoofStyle: 屋顶类型\n",
    "RoofMatl: 屋顶材料\n",
    "Exterior1st: 房屋外墙\n",
    "Exterior2nd: 房屋外墙 (如果多于一种材料)\n",
    "MasVnrType: 表层砌体（Masonry veneer）类型\n",
    "MasVnrArea: 表层砌体面积（square feet）\n",
    "ExterQual: 外部材料的质量\n",
    "ExterCond: 外部材料的现状\n",
    "Foundation: 地基类型\n",
    "BsmtQual: 地下室高度\n",
    "BsmtCond: 地下室的总体状况\n",
    "BsmtExposure: Walkout 或花园层地下室的墙壁\n",
    "BsmtFinType1: 完成的地下室的质量\n",
    "BsmtFinSF1: 第一类型（Type 1）完成面积面积（square feet）\n",
    "BsmtFinType2: 第二类型完成面积(如果有)\n",
    "BsmtFinSF2: Type 2 完成面积（square feet）\n",
    "BsmtUnfSF: 未完成的地下室总面积（square feet）\n",
    "TotalBsmtSF: 地下室总面积（square feet）\n",
    "Heating: 取暖类型\n",
    "HeatingQC: 取暖质量和条件\n",
    "CentralAir: 中央空调\n",
    "Electrical: 电气系统\n",
    "1stFlrSF: 第一层的面积（square feet）\n",
    "2ndFlrSF: 第二层的面积（square feet）\n",
    "LowQualFinSF:低质量完成的面积（square feet）（所有楼层）\n",
    "GrLivArea: 地上居住面积（square feet）\n",
    "BsmtFullBath: 地下室全浴室数目\n",
    "BsmtHalfBath: 地下室半浴室数目\n",
    "FullBath: 地上全浴室数\n",
    "HalfBath: 地上半浴室数目\n",
    "Bedroom: 地下室之上的卧室数目\n",
    "Kitchen: 厨房树木\n",
    "KitchenQual: 厨房质量\n",
    "TotRmsAbvGrd: 地上房间总数(不包括浴室)\n",
    "Functional: 家庭功能评级\n",
    "Fireplaces: 壁炉的数目\n",
    "FireplaceQu: 壁炉质量\n",
    "GarageType: 车库位置\n",
    "GarageYrBlt: 车库建造年份\n",
    "GarageFinish: I 车库内部装修\n",
    "GarageCars: 车库大小（能停的车辆数目）\n",
    "GarageArea: 车库大小（square feet）\n",
    "GarageQual: 车库质量\n",
    "GarageCond: 车库条件\n",
    "PavedDrive: 铺设的车道\n",
    "WoodDeckSF: 木头 deck 面积（square feet）\n",
    "OpenPorchSF: 开放门廊面积（square feet）\n",
    "EnclosedPorch: 封闭门廊面积（square feet）\n",
    "3SsnPorch: 三季门廊面积（square feet）\n",
    "ScreenPorch: 观景门廊（Screen porch）面积（square feet）\n",
    "PoolArea: 游泳池面积（square feet）\n",
    "PoolQC: 游泳池质量\n",
    "Fence: 围栏质量\n",
    "MiscFeature: 没被包含在其他类别的杂项功能\n",
    "MiscVal: 杂项功能价值（$）\n",
    "MoSold: 销售月份\n",
    "YrSold: 销售年份\n",
    "SaleType: 销售类型\n",
    "SaleCondition: 销售条件"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count      1460.000000\n",
       "mean     180921.195890\n",
       "std       79442.502883\n",
       "min       34900.000000\n",
       "25%      129975.000000\n",
       "50%      163000.000000\n",
       "75%      214000.000000\n",
       "max      755000.000000\n",
       "Name: SalePrice, dtype: float64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "###SalesPrice：房屋售价分析\n",
    "#目标变量SalePrice的更多信息\n",
    "train.SalePrice.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AWEDJAgAAsMA11g5DQ0Pavn27IpGIotGoKioqtGrVKnV2dqq2tlb9/f2aN2+eNm7cKJfL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\nCwAAwAJKFgAAgAWULAAAAAv+DxUphKTYvyzLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e4d83470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 导入可视化工具包\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use(style=\"ggplot\")\n",
    "plt.rcParams[\"figure.figsize\"] = (10, 6)\n",
    "# 房屋出售价格直方图\n",
    "plt.hist(train.SalePrice, color=\"blue\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Skew is: 0.121335062205\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e5760e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#正态分布该数据\n",
    "target= np.log(train.SalePrice)\n",
    "print(\"Skew is:\", target.skew())\n",
    "plt.hist(target, color=\"blue\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SalePrice      1.000000\n",
      "OverallQual    0.790982\n",
      "GrLivArea      0.708624\n",
      "GarageCars     0.640409\n",
      "GarageArea     0.623431\n",
      "Name: SalePrice, dtype: float64 \n",
      "\n",
      "YrSold          -0.028923\n",
      "OverallCond     -0.077856\n",
      "MSSubClass      -0.084284\n",
      "EnclosedPorch   -0.128578\n",
      "KitchenAbvGr    -0.135907\n",
      "Name: SalePrice, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# 前5个特征与SalePrice正相关，后5个特征与SalePrice负相关\n",
    "numeric_features = train.select_dtypes(include=[np.number])\n",
    "numeric_features.dtypes\n",
    "corr = numeric_features.corr()\n",
    "print(corr['SalePrice'].sort_values(ascending=False)[:5], '\\n')\n",
    "print(corr['SalePrice'].sort_values(ascending=False)[-5:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OverallQual的唯一值: [ 7  6  8  5  9  4 10  3  1  2]\n"
     ]
    }
   ],
   "source": [
    "#整体材质和完成品质(OverallQual)和售价的关系(SalePrice)\n",
    "train.OverallQual.unique()\n",
    "print(\"OverallQual的唯一值:\",train.OverallQual.unique())\n",
    "# 销售价格的中位数随着数量的增加而增加\n",
    "quality_pivot = train.pivot_table(index='OverallQual', values='SalePrice', aggfunc=np.median)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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O5vvvJDD6a9vWvTrduqfvzTff1OHDhzVlyhTXDFr79u31ySefuDVISUmJTp48Ken0k7w7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\nQh8AAIAJEPoAAABMgNAHAABgAv8f1x4jPdQr5XEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e5785cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#整体材质和完成品质(OverallQual)和售价的关系(SalePrice)直方图\n",
    "quality_pivot.plot(kind='bar', color='blue')\n",
    "plt.xlabel('Overall Quality')\n",
    "plt.ylabel('Median Sale Price')\n",
    "plt.xticks(rotation=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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P0oLFAPSzV0EJ/QLOxJ4uk/eSaQWGovtox/1rmZYthzKIKDkM3IiSleTpT4y/FpLXJ8wI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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e5955080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#地上居住面积(GrLiveArea)和房屋售价的关系(SalePrice)\n",
    "plt.scatter(x=train['GrLivArea'], y=target)\n",
    "plt.ylabel('Sale Price')\n",
    "plt.xlabel('Above grade (ground) living area square feet')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dgMDiUlBobWwil2xRsf79hUWscbwZrgLj1yO9SodR2gXf+YfvRa8Hx7DlS7r9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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e5a14710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#车库大小(GarageArea)和房屋售价的关系(SalePrice)\n",
    "plt.scatter(x=train['GarageArea'], y=target)\n",
    "plt.ylabel('Sale Price')\n",
    "plt.xlabel('Garage Area')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DaFjYReDNy+W9Xwymf2NovQS5qdHS5yF83VM2c1artGCYnPl8E0QKyIqauzfe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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e5a1c828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#车库大小(GarageArea)和房屋售价的关系(SalePrice)剔除离群值后的数据点状图\n",
    "plt.scatter(x=train['GarageArea'], y=np.log(train.SalePrice))\n",
    "plt.xlim(-200, 1600)  # This forces the same scale as before\n",
    "plt.ylabel('Sale Price')\n",
    "plt.xlabel('Garage Area')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "第三步：适当的数据清洗（异常值或缺失值处理）\n",
    "数据清洗(Data cleaning)– 对数据进行重新审查和校验的过程，目的在于删除重复信息、纠正存在的错误，并提供数据一致性。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Null Count</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Feature</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>PoolQC</th>\n",
       "      <td>1453</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MiscFeature</th>\n",
       "      <td>1406</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Alley</th>\n",
       "      <td>1369</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Fence</th>\n",
       "      <td>1179</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FireplaceQu</th>\n",
       "      <td>690</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LotFrontage</th>\n",
       "      <td>259</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageCond</th>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageType</th>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageYrBlt</th>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageFinish</th>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GarageQual</th>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtExposure</th>\n",
       "      <td>38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinType2</th>\n",
       "      <td>38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtFinType1</th>\n",
       "      <td>37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtCond</th>\n",
       "      <td>37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BsmtQual</th>\n",
       "      <td>37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MasVnrArea</th>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MasVnrType</th>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Electrical</th>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Utilities</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>YearRemodAdd</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MSSubClass</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Foundation</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ExterCond</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ExterQual</th>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Null Count\n",
       "Feature                 \n",
       "PoolQC              1453\n",
       "MiscFeature         1406\n",
       "Alley               1369\n",
       "Fence               1179\n",
       "FireplaceQu          690\n",
       "LotFrontage          259\n",
       "GarageCond            81\n",
       "GarageType            81\n",
       "GarageYrBlt           81\n",
       "GarageFinish          81\n",
       "GarageQual            81\n",
       "BsmtExposure          38\n",
       "BsmtFinType2          38\n",
       "BsmtFinType1          37\n",
       "BsmtCond              37\n",
       "BsmtQual              37\n",
       "MasVnrArea             8\n",
       "MasVnrType             8\n",
       "Electrical             1\n",
       "Utilities              0\n",
       "YearRemodAdd           0\n",
       "MSSubClass             0\n",
       "Foundation             0\n",
       "ExterCond              0\n",
       "ExterQual              0"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#处理空白值\n",
    "nulls = pd.DataFrame(train.isnull().sum().sort_values(ascending=False)[:25])\n",
    "nulls.columns = ['Null Count']\n",
    "nulls.index.name = 'Feature'\n",
    "nulls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Unique values are: [nan 'Shed' 'Gar2' 'Othr' 'TenC']\n"
     ]
    }
   ],
   "source": [
    "#利用Series.unique()方法给出唯一值列表\n",
    "print (\"Unique values are:\", train.MiscFeature.unique())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MSZoning</th>\n",
       "      <th>Street</th>\n",
       "      <th>Alley</th>\n",
       "      <th>LotShape</th>\n",
       "      <th>LandContour</th>\n",
       "      <th>Utilities</th>\n",
       "      <th>LotConfig</th>\n",
       "      <th>LandSlope</th>\n",
       "      <th>Neighborhood</th>\n",
       "      <th>Condition1</th>\n",
       "      <th>...</th>\n",
       "      <th>GarageType</th>\n",
       "      <th>GarageFinish</th>\n",
       "      <th>GarageQual</th>\n",
       "      <th>GarageCond</th>\n",
       "      <th>PavedDrive</th>\n",
       "      <th>PoolQC</th>\n",
       "      <th>Fence</th>\n",
       "      <th>MiscFeature</th>\n",
       "      <th>SaleType</th>\n",
       "      <th>SaleCondition</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>1460</td>\n",
       "      <td>1460</td>\n",
       "      <td>91</td>\n",
       "      <td>1460</td>\n",
       "      <td>1460</td>\n",
       "      <td>1460</td>\n",
       "      <td>1460</td>\n",
       "      <td>1460</td>\n",
       "      <td>1460</td>\n",
       "      <td>1460</td>\n",
       "      <td>...</td>\n",
       "      <td>1379</td>\n",
       "      <td>1379</td>\n",
       "      <td>1379</td>\n",
       "      <td>1379</td>\n",
       "      <td>1460</td>\n",
       "      <td>7</td>\n",
       "      <td>281</td>\n",
       "      <td>54</td>\n",
       "      <td>1460</td>\n",
       "      <td>1460</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>unique</th>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>25</td>\n",
       "      <td>9</td>\n",
       "      <td>...</td>\n",
       "      <td>6</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>9</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>top</th>\n",
       "      <td>RL</td>\n",
       "      <td>Pave</td>\n",
       "      <td>Grvl</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>Inside</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>NAmes</td>\n",
       "      <td>Norm</td>\n",
       "      <td>...</td>\n",
       "      <td>Attchd</td>\n",
       "      <td>Unf</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>Y</td>\n",
       "      <td>Gd</td>\n",
       "      <td>MnPrv</td>\n",
       "      <td>Shed</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>freq</th>\n",
       "      <td>1151</td>\n",
       "      <td>1454</td>\n",
       "      <td>50</td>\n",
       "      <td>925</td>\n",
       "      <td>1311</td>\n",
       "      <td>1459</td>\n",
       "      <td>1052</td>\n",
       "      <td>1382</td>\n",
       "      <td>225</td>\n",
       "      <td>1260</td>\n",
       "      <td>...</td>\n",
       "      <td>870</td>\n",
       "      <td>605</td>\n",
       "      <td>1311</td>\n",
       "      <td>1326</td>\n",
       "      <td>1340</td>\n",
       "      <td>3</td>\n",
       "      <td>157</td>\n",
       "      <td>49</td>\n",
       "      <td>1267</td>\n",
       "      <td>1198</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>4 rows × 43 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       MSZoning Street Alley LotShape LandContour Utilities LotConfig  \\\n",
       "count      1460   1460    91     1460        1460      1460      1460   \n",
       "unique        5      2     2        4           4         2         5   \n",
       "top          RL   Pave  Grvl      Reg         Lvl    AllPub    Inside   \n",
       "freq       1151   1454    50      925        1311      1459      1052   \n",
       "\n",
       "       LandSlope Neighborhood Condition1      ...      GarageType  \\\n",
       "count       1460         1460       1460      ...            1379   \n",
       "unique         3           25          9      ...               6   \n",
       "top          Gtl        NAmes       Norm      ...          Attchd   \n",
       "freq        1382          225       1260      ...             870   \n",
       "\n",
       "       GarageFinish GarageQual GarageCond PavedDrive PoolQC  Fence  \\\n",
       "count          1379       1379       1379       1460      7    281   \n",
       "unique            3          5          5          3      3      4   \n",
       "top             Unf         TA         TA          Y     Gd  MnPrv   \n",
       "freq            605       1311       1326       1340      3    157   \n",
       "\n",
       "       MiscFeature SaleType SaleCondition  \n",
       "count           54     1460          1460  \n",
       "unique           4        9             6  \n",
       "top           Shed       WD        Normal  \n",
       "freq            49     1267          1198  \n",
       "\n",
       "[4 rows x 43 columns]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "###处理非数字特征\n",
    "categoricals = train.select_dtypes(exclude=[np.number])\n",
    "categoricals.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original: \n",
      "\n",
      "Pave    1454\n",
      "Grvl       6\n",
      "Name: Street, dtype: int64 \n",
      "\n"
     ]
    }
   ],
   "source": [
    "#房屋街道数据\n",
    "print (\"Original: \\n\") \n",
    "print (train.Street.value_counts(), \"\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Encoded: \n",
      "\n",
      "1    1454\n",
      "0       6\n",
      "Name: enc_street, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "#对于街道类型的唯一值转换，1是Pave 0是Grvl\n",
    "train['enc_street'] = pd.get_dummies(train.Street, drop_first=True)\n",
    "test['enc_street'] = pd.get_dummies(train.Street, drop_first=True)\n",
    "print ('Encoded: \\n') \n",
    "print (train.enc_street.value_counts())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JXRUXxN2CTp48Wd0lXDdOB/gfPfc/eu5/9Nz/6HnFoqJq7+ndEyd8lytq1OldAAAAVC9C\nHwAAgAEQ+gAAAAyA0AcAAGAAhD4AAAADIPQBAAAYAKEPAADAAAh9AAAABkDoAwAAMABCHwAAgAEQ\n+gAAAAyA0AcAAGAAhD4AAAADIPQBAAAYAKEPAADAAAh9AAAABkDoAwAAMABCHwAAgAEQ+gAAAAyA\n0AcAAGAAhD4AAAADIPQBAAAYAKEPAADAAAh9AAAABkDoAwAAMABCHwAAgAEQ+gAAAAyA0AcAAGAA\nhD4AAAADIPQBAAAYAKEPAADAAAh9AAAABkDoAwAAMABCHwAAgAFYvFnpwoULWrdunTIyMlRQUKA3\n3nhDu3fvVnZ2tu677z5f1wgAAICb5NWRvjfeeEPffvutJkyYIJPJJElq1qyZPvnkE58WBwAAgKrh\n1ZG+7du3Kzk5WcHBwZ7QZ7fb5XQ6fVocAAAAqoZXR/osFovKysrKLcvPz1doaKhPigIAAEDV8ir0\ndevWTYsXL1ZOTo4kyeVyacWKFerRo4dPiwMAAEDV8Cr0/fa3v1XDhg01ZcoUFRUVacKECbLZbBoy\nZIiv6wMAAEAV8OqaPovFohEjRmjEiBGe07qXr+0DAABAzefVkb60tDR9/fXXkqSwsDCZTCYdP35c\n6enpPi0OAAAAVcOr0LdmzRo5HI5yyyIiIrR69WqfFAUAAICq5VXoO3funEJCQsotCwkJ0dmzZ31S\nFAAAAKqWV6GvadOm2rZtW7ll27dvV9OmTX1SFAAAAKqWVzdyPPLII5ozZ462bt2qyMhInTp1Snv3\n7tX06dN9XR8AAACqgFehr02bNkpKStKnn36q3NxctWrVSiNGjFBERISv6wMAoEaKimri4y34bvwT\nJ076bGzUXF6FPunSjRuDBg3yZS0AAADwkUpD37Jly/TEE09IkhYtWlTpvHxPPfWUbyoDAABAlak0\n9DVs2NDzdWRkpF+KAQAAgG9UGvp+/etfS5LKysrkcDjUq1cvBQYG+q0wAAAAVJ2fnLLFbDbrzTff\nJPABAADUYl7N03fXXXdpx44dvq4FAAAAPuLV3bsXLlzQK6+8oujoaDkcjnI3dXAjBwAAQM3nVehr\n1qyZmjVrdsMbWbJkiXbu3Knw8HAlJSVJktauXatNmzYpLCxMkvTwww+rS5cukqT33ntPmzdvltls\n1siRIxUTEyNJysrK0qpVq1RWVqZ+/fp5ppDJycnRwoULVVhYqBYtWmj8+PGyWCy6cOGCFi9erKNH\njyo0NFQTJ04sd4MKAACAUXgV+oYOHXpTG4mPj9d9992nlJSUcssHDBigBx54oNyy7777Tlu3btUr\nr7wil8ulWbNm6dVXX5UkrVixQjNmzJDD4dD06dMVGxurpk2b6q233tKAAQPUs2dP/fnPf9bmzZvV\nv39/bd68WfXq1dOiRYuUkZGht99+W5MmTbqpfQEAAKiNrnlN38mTJzVjxgw99thjevHFF5WTk3ND\nG2nXrp2sVqtX62ZmZqpHjx6qU6eOGjZsqMjISB05ckRHjhxRZGSkGjVqJIvFoh49eigzM1Nut1v7\n9u1Tt27dJF0KmJmZmZKkHTt2KD4+XpLUrVs3ffHFF3K73Te0DwAAALXZNUPfypUr1bBhQz399NOy\n2+36y1/+UqUb/+c//6lnnnlGS5YsUWFhoSTJ6XTK4XB41rHb7XI6nVctdzgccjqdKigoUEhIiAIC\nAsqt/+OxAgICFBISooKCgirdBwAAgNrgmqd3jx07pqVLlyowMFDt2rXT008/XWUb7t+/v4YMGSJJ\nWrNmjd58802NHTu20iNxFS2v7CkhN/KZ1NRUpaamSpISExNr5XOFLRZLray7NqPn/kfP/Y+e33r4\nfvpfTej5NUNfaWmpZ36+4OBglZSUVNmG69ev7/m6X79+mjt3rqRLR/Dy8vI87zmdTtntdkkqtzwv\nL082m02hoaEqKirSxYsXFRAQUG79y2M5HA5dvHhRRUVFlZ5mTkhIUEJCgud1bm5ule2rv0RERNTK\numszeu5/9Nz/6HllmlR3ATes9n4/6XlFmjTxri/XDH0XLlzQmjVrPK9LSkrKvZakhx566AbKk1wu\nl2w2myRp+/btnruDY2NjlZycrIEDB8rlcik7O1utWrWS2+1Wdna2cnJyZLfbtXXrVk2YMEEmk0nt\n27fXtm3b1LNnT23ZskWxsbGSLs0vuGXLFkVHR2vbtm1q3779Tx4dBAAAuBVdM/T16tWr3NG1nj17\nlnvtrYULF2r//v0qKCjQk08+qWHDhmnfvn06fvy4TCaTGjRooNGjR0u6ND1M9+7dNXnyZJnNZv3+\n97+X2Xzp0sPHH39cL7/8ssrKynTvvfd6guIjjzyihQsXavXq1WrRooX69u0rSerbt68WL16s8ePH\ny2q1auLEidddO4DrFxXl67/GfTf+iRMnfTY2AFQnk5vbWSt08mTt+8XPKRj/o+cV833o8x1C39X4\nOa8YP+f+R88r5u3pXa8ewwYAAIDajdAHAABgAIQ+AAAAAyD0AQAAGIBXz96VpD179igjI0NnzpzR\ntGnT9NVXX+ncuXPq0KGDL+sDAABAFfDqSN9HH32k119/XY0bN9aBAwckSYGBgVq9erVPiwMAAEDV\n8Cr0ffjhh3ruuec0aNAgz5x5UVFRtXJaEwAAACPy6vTuuXPnrnpmXGlpqSwWr88OAwB8iAmxAfwU\nr470tW3bVuvXry+37KOPPlL79u19UhQAAACqlleh7/HHH9f27ds1btw4FRcX6+mnn9a2bdv02GOP\n+bo+AAAAVAGvzs/abDbNmTNHR44cUW5urhwOh1q1auW5vg8AAAA1m9cX5ZlMJrVu3VqtW7f2ZT0A\nAADwgUpD35gxY7waYOnSpVVWDAAAAHyj0tA3fvx4f9YBAAAAH6o09LVr186fdQAAAMCHvL6m7/jx\n4zpw4IAKCgrkdrs9yx966CGfFAYAAICq41XoS01N1RtvvKFOnTopKytLMTEx2rNnj2JjY31dHwAA\nAKqAV3Ou/P3vf9cf/vAHTZ06VYGBgZo6daomT56sgIAAX9cHAACAKuBV6MvPz1fbtm0lXZq6pays\nTJ07d9bnn3/u0+IAAABQNbw6vWu325WTk6OGDRuqcePG2rFjh0JDQ3n2LgAAQC3hVWr71a9+pRMn\nTqhhw4YaMmSIXnnlFZWWlmrkyJG+rg8AAABVwKvQFx8f7/m6c+fOWrVqlUpLSxUcHOyrum5ZUVFN\nfLwF341/4sRJn40NAAB867ofnrtnzx59/PHH+uabb3xRDwAAAHzgmqFv4cKF2rRpk+f1+vXrlZiY\nqIyMDM2aNUvp6ek+LxAAAAA375qndw8ePOi5bq+srEzvv/++JkyYoG7dumnXrl165513FBcX55dC\nAQAAcOOueaSvqKhI4eHhki49kePChQu65557JEkxMTE6ffq07ysEAADATbtm6AsNDVVOTo4k6Ysv\nvlB0dLTM5ksfOX/+vOdrAAAA1GzXPL3bt29fJSYm6s4771R6enq5KVr279+vqKgonxcIAACAm3fN\n0Dd48GDZ7XYdPXpUI0aMUK9evTzv5efn67/+6798XiAAAABu3k/O0xcfH19unr4rlwMAAKB24KI8\nAAAAAyD0AQAAGAChDwAAwAAIfQAAAAbwkzdySFJhYaE2bNigr7/+WsXFxeXemzlzpk8KAwAAQNXx\nKvS9+uqrKi0tVffu3RUYGOjrmgAAAFDFvAp9hw4d0vLly1WnTh1f1wMAAAAf8OqavubNmysvL8/X\ntQAAAMBHvDrS16FDB82ePVvx8fGqX79+uff69u3rk8IAAABQdbwKfV9++aUcDof27t171XuEPgAA\ngJrPq9D3wgsv+LoOAAAA+JBXoe9Kbrdbbrfb89psZqo/AACAms6r0Od0OrVixQodOHBAZ8+eLffe\nmjVrfFIYAAAAqo5Xh+n+/Oc/y2Kx6Pnnn1dwcLDmzp2r2NhY/fd//7ev6wMAAEAV8Cr0HTp0SGPG\njNFtt90mk8mk2267TWPGjNE//vEPX9cHAACAKuBV6DObzQoICJAk1atXT/n5+QoKCpLT6fRpcQAA\nAKgaXl3T16pVK+3atUv33HOP7rzzTi1YsECBgYFq2bKlr+sDAABAFfAq9I0fP95zx+6IESO0YcMG\nFRcXa8CAAT4tDgAAAFXDq9BXr149z9eBgYEaMmSIzwoCAABA1as09L377rsaPHiwpGtPy/LQQw9V\nfVUAAACoUpWGvry8vAq/BgAAQO1Taei7cg6+sWPH+qUYAAAA+Ealoe/777/3aoBGjRpVWTEAAADw\njUpD34QJE7wagMewAQAA1HyVhr4rw9y//vUv7d27V0OHDlWDBg10+vRprVu3Th07dvRLkcDNiIpq\n4uMt+G78EydO+mxsAICxeDVly5o1a5ScnKzAwEBJUuPGjTV69Gg9/fTTio+P/8nPL1myRDt37lR4\neLiSkpIkSYWFhVqwYIFOnz6tBg0aaNKkSbJarXK73Vq1apV27dqloKAgjR07VrfffrskacuWLXr3\n3XclSYMHD/Zs++jRo0pJSVFJSYk6d+6skSNHymQyVboNAAAAo/HqMWxut1s5OTnllp0+fVplZWVe\nbSQ+Pl5/+MMfyi1bv369OnbsqOTkZHXs2FHr16+XJO3atUunTp1ScnKyRo8ereXLl0u6FBLXrVun\n2bNna/bs2Vq3bp0KCwslSa+//rqeeOIJJScn69SpU8rKyrrmNgAAAIzGq9A3YMAA/fGPf9Q777yj\nTz75RO+8845mzZrl9RM52rVrd9URtszMTPXp00eS1KdPH2VmZkqSduzYobi4OJlMJkVHR+vs2bNy\nuVzKyspSp06dZLVaZbVa1alTJ2VlZcnlcuncuXOKjo6WyWRSXFycZ6zKtgEAAGA0Xp3efeCBB9S8\neXP95z//0fHjx1W/fn2NGTNGMTExN7zhM2fOyGazSZJsNpvy8/MlSU6nUxEREZ71HA6HnE6nnE6n\nHA6HZ7ndbq9w+eX1r7UNAAAAo/Eq9ElSTEzMTYU8b11+xu+VTCZTheuaTKYK178RqampSk1NlSQl\nJiaWC564hJ74Hz33P3ruf/Tc/+i5/9WEnnsV+i5cuKB169YpIyNDBQUFeuONN7R7925lZ2frvvvu\nu6ENh4eHy+VyyWazyeVyKSwsTNKlI3W5ubme9fLy8mSz2WS327V//37PcqfTqXbt2snhcFz19BC7\n3X7NbVQkISFBCQkJntdX1lC1fH0nqe/4rie+Rs/9j577Hz33P3ruf/S8Ik2aeNcXr67pe+ONN/Tt\nt99qwoQJnqNuzZo10yeffHLDBcbGxiotLU2SlJaWprvvvtuzPD09XW63W4cOHVJISIhsNptiYmK0\ne/duFRYWqrCwULt371ZMTIxsNpvq1q2rQ4cOye12Kz09XbGxsdfcBgAAgNF4daRv+/btSk5OVnBw\nsCf0Xb6mzhsLFy7U/v37VVBQoCeffFLDhg3ToEGDtGDBAm3evFkRERGaPHmyJKlz587auXOnJkyY\noMDAQM8j4KxWqx588EFNnz5dkjRkyBDPzSGjRo3SkiVLVFJSopiYGHXu3FmSKt0GAACA0XgV+iwW\ny1XTs+Tn5ys0NNSrjUycOLHC5c8///xVy0wmk0aNGlXh+n379lXfvn2vWt6yZUvP/H9XCg0NrXAb\nAAAARuPV6d1u3bpp8eLFnrn6XC6XVqxYoR49evi0OAAAAFQNr0Lfb3/7WzVs2FBTpkxRUVGRJkyY\nIJvNpqFDh/q6PgAAAFQBr0/vjhgxQiNGjPCc1q1sGhUAAADUPNcMfZXdXnzlFCk1Yd4ZAAAAXNs1\nQ9+4ceN+coA1a9ZUWTEAAADwjWuGvubNm+vChQvq06ePevfu7Zn0GAAAALXLNUPfvHnz9M033ygt\nLU3PP/+8oqKiFBcXp65duyowMNBfNQIAAOAm/eTdu82bN9fw4cO1ePFiDRgwQJ9//rlGjx6to0eP\n+qM+AAAAVAGvpmyRpFOnTmn//v06fPiwWrRo4XkaBgAAAGq+a57eLSws1Keffqq0tDQVFxerd+/e\nmjlzJnfsAgAA1DLXDH1PPPGEGjZsqN69eys6OlrSpSN+p06d8qzToUMH31YIAACAm3bN0Fe/fn2V\nlJRo06ZN2rRp01Xvm0wmLV682GfFAQAAoGpcM/SlpKT4qw4AAAD4kNc3cgAAAKD2IvQBAAAYAKEP\nAADAAAh9AAAABkDoAwAAMACTDj2HAAAWvUlEQVRCHwAAgAEQ+gAAAAyA0AcAAGAAhD4AAAADIPQB\nAAAYAKEPAADAAAh9AAAABkDoAwAAMABCHwAAgAEQ+gAAAAyA0AcAAGAAhD4AAAADIPQBAAAYAKEP\nAADAAAh9AAAABkDoAwAAMABCHwAAgAEQ+gAAAAyA0AcAAGAAhD4AAAADIPQBAAAYAKEPAADAAAh9\nAAAABkDoAwAAMABCHwAAgAEQ+gAAAAyA0AcAAGAAhD4AAAADIPQBAAAYAKEPAADAAAh9AAAABkDo\nAwAAMABCHwAAgAEQ+gAAAAyA0AcAAGAAhD4AAAADsFR3AePGjVNwcLDMZrMCAgKUmJiowsJCLViw\nQKdPn1aDBg00adIkWa1Wud1urVq1Srt27VJQUJDGjh2r22+/XZK0ZcsWvfvuu5KkwYMHKz4+XpJ0\n9OhRpaSkqKSkRJ07d9bIkSNlMpmqa3cBAACqRbWHPkl64YUXFBYW5nm9fv16dezYUYMGDdL69eu1\nfv16/e53v9OuXbt06tQpJScn6/Dhw1q+fLlmz56twsJCrVu3TomJiZKkadOmKTY2VlarVa+//rqe\neOIJtW7dWnPmzFFWVpY6d+5cXbsKAABQLWrk6d3MzEz16dNHktSnTx9lZmZKknbs2KG4uDiZTCZF\nR0fr7NmzcrlcysrKUqdOnWS1WmW1WtWpUydlZWXJ5XLp3Llzio6OlslkUlxcnGcsAAAAI6kRR/pe\nfvllSdLPf/5zJSQk6MyZM7LZbJIkm82m/Px8SZLT6VRERITncw6HQ06nU06nUw6Hw7PcbrdXuPzy\n+gAAAEZT7aFv1qxZstvtOnPmjF566SU1adKk0nXdbvdVyyq7Ps9kMlW4fmVSU1OVmpoqSUpMTCwX\nLnEJPfE/eu5/9Nz/6Ln/0XP/qwk9r/bQZ7fbJUnh4eG6++67deTIEYWHh8vlcslms8nlcnmu93M4\nHMrNzfV8Ni8vTzabTXa7Xfv37/csdzqdateunRwOh/Ly8sqtf3l7P5aQkKCEhATP6yu3U7UqD7U1\nne964mv03P/ouf/Rc/+j5/5HzytyrQNmV6rWa/qKi4t17tw5z9d79uxR8+bNFRsbq7S0NElSWlqa\n7r77bklSbGys0tPT5Xa7dejQIYWEhMhmsykmJka7d+9WYWGhCgsLtXv3bsXExMhms6lu3bo6dOiQ\n3G630tPTFRsbW237CwAAUF2q9UjfmTNnNH/+fEnSxYsX1atXL8XExKhly5ZasGCBNm/erIiICE2e\nPFmS1LlzZ+3cuVMTJkxQYGCgxo4dK0myWq168MEHNX36dEnSkCFDZLVaJUmjRo3SkiVLVFJSopiY\nGO7cBQAAhmRyX8+FbwZy8uRJn4wbFVV7D02fOOGbnvgaPfc/eu5/9Nz/6Ln/0fOK1YrTuwAAAPAP\nQh8AAIABEPoAAAAMgNAHAABgAIQ+AAAAAyD0AQAAGAChDwAAwAAIfQAAAAZA6AMAADAAQh8AAIAB\nEPoAAAAMgNAHAABgAIQ+AAAAAyD0AQAAGAChDwAAwAAIfQAAAAZA6AMAADAAQh8AAIABEPoAAAAM\ngNAHAABgAIQ+AAAAAyD0AQAAGAChDwAAwAAIfQAAAAZA6AMAADAAQh8AAIABEPoAAAAMgNAHAABg\nAIQ+AAAAAyD0AQAAGAChDwAAwAAIfQAAAAZA6AMAADAAQh8AAIABEPoAAAAMgNAHAABgAIQ+AAAA\nAyD0AQAAGAChDwAAwAAIfQAAAAZA6AMAADAAQh8AAIABEPoAAAAMgNAHAABgAIQ+AAAAAyD0AQAA\nGAChDwAAwAAIfQAAAAZA6AMAADAAQh8AAIABEPoAAAAMgNAHAABgAIQ+AAAAAyD0AQAAGAChDwAA\nwAAs1V2AP2RlZWnVqlUqKytTv379NGjQoOouCQAAwK9u+SN9ZWVlWrFihf7whz9owYIFysjI0Hff\nfVfdZQEAAPjVLR/6jhw5osjISDVq1EgWi0U9evRQZmZmdZcFAADgV7d86HM6nXI4HJ7XDodDTqez\nGisCAADwv1v+mj63233VMpPJdNWy1NRUpaamSpISExPVpEkTH9Xjk2H9xDc98TV67n/03P/ouf/R\nc/+j5zfnlj/S53A4lJeX53mdl5cnm8121XoJCQlKTExUYmKiP8urUtOmTavuEgyHnvsfPfc/eu5/\n9Nz/jNDzWz70tWzZUtnZ2crJyVFpaam2bt2q2NjY6i4LAADAr27507sBAQF6/PHH9fLLL6usrEz3\n3nuvmjVrVt1lAQAA+NUtH/okqUuXLurSpUt1l+FzCQkJ1V2C4dBz/6Pn/kfP/Y+e+58Rem5yV3Sn\nAwAAAG4pt/w1fQAAACD0Vbvt27dr2LBhOnHihCRp37591X4H8YsvvqivvvqqWmvwtR/3/cdSUlK0\nbds2SdJrr73meYrLuHHjlJ+fX6W1bNmyRStWrKjSMWuLH38fcnJyNGXKFEk14/+FW8lDDz2kqVOn\nev7Lycm56TE/+eQTpaWlSSr//4zRDRs2TG+++abn9YYNG7R27Vq/1mDU78fln/MpU6bolVde0fnz\n56/r8x988EG5z8yZM0dnz5695md88e+CrxD6qtmnn36qNm3aKCMjw6fbuXjxok/Hr22up+9PPvmk\nmjZt6oeqjMdfP/+QAgMDNW/ePM9/DRs2vOkx+/fvrz59+lRBdbeWOnXq6LPPPrvhIMDv6xt3+ec8\nKSlJFotFGzdu9PqzZWVl+vDDD8uFvunTp6tevXq+KLVaGOJGjpqquLhYBw8e1AsvvKA//elPGjZs\nmCTp3Llzmjdvnk6ePKm2bdtq1KhRMpvNGj58uO6//37t3LlTgYGBmjp1qurXr6/Tp09r6dKlys/P\nV1hYmMaOHauIiAilpKTIarXq+PHjatGihYKDg5WTk6MffvhB2dnZevTRR3X48GHt2rVLdrtdzz77\nrCyWW/9HoqK+u91urVy5Ul988cVV/xi++OKLGj58uFq2bFnheEeOHNFf/vIXlZSUKDAwUGPHjlWT\nJk20ZcsW7dixQ+fPn9f333+ve+65R7/73e8kSf/617+0fv161a9fX40bN1adOnV8vt81TWU//xUp\nLCzUkiVLlJOTo6CgII0ePVo/+9nPVFxcrJUrV+qrr76SyWTSkCFD1K1bN73++uv66quvVFJSom7d\nul1zbCPLycnR4sWLPf/IPf7447rjjju0b98+rV27VuHh4fr66691zz33qHnz5vrwww9VUlKiqVOn\nKjIyUmvXrlVwcLAeeOABz5h79+7Vxx9/rKlTp0qS9uzZo08++UTPPPNMtexjdTCbzUpISNAHH3yg\nhx9+uNx7Vf37et26dfr8889VUlKi6OhojR49usIHEBhRmzZt9M0330iS/vSnPykvL08XLlzQ/fff\n77lpY/jw4Ro4cKB2796tLl26yOl0aubMmQoLC9MLL7ygcePGac6cOQoLC6t0jNqEI33VaPv27YqJ\niVGTJk1ktVp19OhRSZdCxKOPPqqkpCR9//332r59uyTp/Pnzat26tebNm6e2bdtq06ZNkqQVK1Yo\nLi5O8+fPV69evbRy5UrPNrKzs/Xcc8/p0UcflSR9//33mjZtmqZOnapFixapffv2SkpKUmBgoHbu\n3OnnDlSPivq+fft2nTx5UklJSXriiSd08OBBr8dr0qSJZs6c6Qku77zzjue948ePa9KkSZo/f762\nbt2q3NxcuVwurV27VrNmzdJzzz1X6SnmW11lP/8VWbt2rVq0aKH58+fr4Ycf1uLFiyVJ69atU0hI\niJKSkjR//nx16NBBkvTwww8rMTFR8+fP1/79+/X111/7ZZ9qssthberUqZo3b54kKTw8XDNmzNDc\nuXM1ceJErVq1yrP+119/rZEjR2r+/PlKT09Xdna25syZo379+unjjz+udDsdOnTQiRMnPEe5/vWv\nfyk+Pt6n+1YT/eIXv9Cnn36qoqKicsur+vf1fffdpzlz5igpKUklJSX6/PPP/beTNdjFixeVlZWl\n5s2bS5LGjh2ruXPnKjExUR999JEKCgokXfp3tVmzZpo9e7aGDBkiu92uF154QS+88MJVY1Y2Rm1y\n6x/WqcEyMjI0YMAASVKPHj2UkZGhLl26qFWrVmrUqJEkqWfPnvryyy/VrVs3WSwW3XXXXZKk22+/\nXXv27JEkHT582PNXdFxcnN5++23PNrp16yaz+f+yfefOnWWxWNS8eXOVlZUpJiZGktS8eXOdPn3a\n9ztdA1TU94sXL6pnz54ym82y2+2e8OCNoqIipaSk6NSpU5LKn5rp0KGDQkJCJElNmzZVbm6u8vPz\n1b59e4WFhUmSunfvruzs7KravVqjou/DL37xiwrX/fLLLz3X+nXo0EGFhYUqKirS3r17NXHiRM96\nVqtVkrR161Zt2rRJFy9elMvl0nfffaef/exnPt6jmu3yaa8rXbx4UStWrNDx48dlNpvL/Ry2bNnS\n8/SiyMhIderUSdKl3xVffPFFpdsxmUyKi4tTenq67r33Xh06dEhPPfWUD/aoZgsJCVFcXJw+/PBD\nBQYGepZX9e/rL774Qhs2bND58+dVWFioZs2aGfoBBJf/uJGktm3bqm/fvpKkDz/8UJmZmZKk3Nxc\nZWdnKzQ0VGazWd26dfNq7MrGqE0IfdWkoKBAX3zxhb799luZTCaVlZVJuvQ/eWUCAgI8h+3NZrNX\n130EBweXe3359K3ZbC43nslkMsR1JJX1/Z577rnhUyJr1qxR+/btPRfHz5w50/Peladtvf2eGUFl\n34fKQt+1Zpb68fctJydH77//vubMmSOr1aqUlBRduHCh6oq/hfzjH/9QeHi45s2bJ7fbrUceecTz\n3pU/uyaTyfP6yu9XZeLj4zV37lwFBgaqe/fuCggI8M0O1HADBgzQs88+6/WRzuv9fV1SUqIVK1Zo\nzpw5ioiI0Nq1a1VSUlKl+1DbVPTHzb59+7R371699NJLCgoK0osvvuj5nVCnTp1yQbsy1xqjNuH0\nbjXZtm2b+vTpoyVLliglJUVLly5Vw4YN9eWXX+rIkSPKyclRWVmZ/vOf/6hNmzbXHCs6Olpbt26V\n9H8XxqNilfXdarVq69atKisrk8vl0r59+7wes6ioSHa7XdKlO3F/SuvWrbV//34VFBSotLTUkHfY\nVfZ9uPI52Vdq27at/v3vf0u69Ms3NDRUISEh6tSpU7lTjZePAAYHByskJEQ//PCDsrKy/LJPtVFR\nUZFsNpvMZrPS09N/Msx5y263y2az6W9/+5shT+1eZrVa1b17d23evNmzrCp/X18OHWFhYSouLtZn\nn312cwXfooqKilSvXj0FBQXpxIkTOnz4cKXrBgcHq7i4+KbGqMk40ldNMjIyNGjQoHLLunbtqo0b\nNyo6Olpvv/22vvnmG7Vt21b33HPPNccaOXKkli5dqg0bNnguDEbFKuv7iRMnFBkZqSlTpqhx48Zq\n27ZtuXWuPJo0depUz+vu3bvrV7/6lVJSUvTBBx+offv2P1mDzWbT0KFDNWPGDNWvX18tWrSosn9s\na4vKvg/vvfdehesPGzZMS5Ys0TPPPKOgoCCNGzdOkvTggw9q+fLlmjJlisxms4YMGaKuXbvqtttu\n05QpU9SwYUPdcccdPt+f2uoXv/iFkpKStG3bNrVv315BQUFVNnbv3r1VUFBg+DvfBw4cWO4Pk6r8\nfV2vXj3169fP87Ne2c1mRhcTE6ONGzfqmWeeUZMmTdS6detK101ISNDs2bNls9nKXdd3PWPUZDyR\nA/gJU6ZM0bPPPlslU1wARrFixQq1aNHCc00VgOrH6V3gGmbNmqXmzZsT+IDr8Oyzz+qbb75R7969\nq7sUAFfgSB8AAIABcKQPAADAAAh9AAAABkDoAwAAMABCHwBDGzdunOfpNjXZiy++6Hn04r///W+9\n9NJLla574MABPf300/4qDUAtwTx9AGq9L7/8Um+99Za+/fZbmc1mNW3aVI899phatWrl0+0WFRVp\n7dq1+uyzz1RYWKj69evrrrvu0uDBgz2P2fOF3r17l7szdtiwYUpOTlZkZKSkS5NZv/rqqz7bPoDa\nidAHoFYrKipSYmKiRo0apR49eqi0tFQHDhwo9xgxXygtLdWsWbMUEhKi//f//p+aNGmigoICbdy4\nUUeOHFGXLl18un0AuF6EPgC1WnZ2tiSpV69eki49e/POO+/0vH/q1CktW7ZMX3/9tUwmk+688079\n/ve/V7169a4aq6ysTBs2bNCmTZt09uxZdejQQaNHj5bVar1q3bS0NOXm5mrRokWeZ6aGh4dryJAh\nnnW+++47LV++XMePH5fdbtdvf/tbxcbGSpJSUlIUFBSk06dP68CBA2ratKkmTJjgOVq3Z88erVy5\nUi6XS3FxceWeP7xlyxZt2rRJs2bN8jw14PJD5seMGaPw8HAtWrRIr7322k3XAeDWwTV9AGq1xo0b\ny2w2a/Hixdq1a5cKCwuvWufXv/61li1bpgULFigvL09//etfKxzro48+UmZmpl588UUtW7ZMVqtV\ny5cvr3DdvXv36s477/QEvh8rLS3V3Llz1alTJy1fvlyPP/64kpOTdfLkSc86GRkZGjp0qFatWqXI\nyEitXr1akpSfn6+kpCT95je/0YoVK9SoUSMdPHiwwu3MnDlTkjRv3jz97//+r3r06FFldQC4tRD6\nANRqISEh+uMf/yiTyaRly5Zp1KhRmjt3rn744QdJUmRkpDp16qQ6deooLCxMAwYM0P79+yscKzU1\nVb/5zW/kcDhUp04dDR06VJ999pkuXrx41boFBQWy2WyV1nX48GEVFxdr0KBBslgs6tChg7p06aJP\nP/3Us07Xrl3VqlUrBQQEqFevXjp+/LgkadeuXWratKm6desmi8WiAQMGqH79+jfUn5upA8CthdO7\nAGq9pk2baty4cZKkEydOaNGiRfrLX/6iiRMn6syZM1q1apUOHDig4uJilZWVVXi6VpJOnz6t+fPn\ny2QyeZaZzWadOXNGdru93LqhoaFyuVyV1uRyuRQRESGz+f/+tm7QoIGcTqfn9ZVBLigoSMXFxZ7P\nOhwOz3smk6nc6+txM3UAuLUQ+gDcUqKiohQfH6+NGzdKkt555x1J0vz58xUaGqrt27dr5cqVFX7W\n4XBozJgxatOmzU9up2PHjlq9erWKi4srPMVrs9mUm5ursrIyT+DKzc1V48aNf3Ls+vXrKy8vz/Pa\n7XaXe309bqYOALcWTu8CqNVOnDih999/3xOKcnNzlZGRodatW0uSzp07p+DgYNWrV09Op1Pvv/9+\npWP9/Oc/1+rVq3X69GlJl66ty8zMrHDduLg4RUREKCkpSSdOnFBZWZkKCgr07rvvaufOnWrdurWC\ng4O1YcMGlZaWat++ffr888/Vs2fPn9ynLl266Ntvv/WcWv7oo488p6srEh4eru+//77C926mDgC3\nFo70AajV6tatq8OHD+sf//iHioqKFBISorvuuku/+93vJElDhw7V4sWL9dhjjykyMlJxcXH64IMP\nKhzr/vvvlyS99NJLcrlcCg8PV/fu3XX33XdftW6dOnX03HPPae3atXrppZc88/TFxsaqdevWslgs\n+p//+R8tX75c7733nux2u5566ilFRUX95D6FhYVp8uTJWrVqlZYsWaK4uDjdcccdla4/dOhQpaSk\nqKSkRKNHj1Z4eLjnvZupA8CtxeS+ch4AAAAA3JI4vQsAAGAAhD4AAAADIPQBAAAYAKEPAADAAAh9\nAAAABkDoAwAAMABCHwAAgAEQ+gAAAAyA0AcAAGAA/x+uOEdkdaJK6AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e5b499e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#销售条件SaleCondition数据处理\n",
    "condition_pivot = train.pivot_table(index='SaleCondition',values='SalePrice', aggfunc=np.median)\n",
    "condition_pivot.plot(kind='bar', color='blue')\n",
    "plt.xlabel('Sale Condition')\n",
    "plt.ylabel('Median Sale Price')\n",
    "plt.xticks(rotation=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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eHu7bzul0yuVyyeVyyel0+todDket7ae2r68PAAAAszEU+iQpNjb2gkKeUbUt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\nEPoAAABMgNAHAABgAoQ+AAAAE/h/tiBVs4X6ShEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e5913c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#销售条件SaleCondition模型转换：等于Patrial时，赋值1，否则赋值0\n",
    "def encode(x): return 1 if x == 'Partial' else 0\n",
    "train['enc_condition'] = train.SaleCondition.apply(encode)\n",
    "test['enc_condition'] = test.SaleCondition.apply(encode)\n",
    "condition_pivot = train.pivot_table(index='enc_condition', values='SalePrice', aggfunc=np.median)\n",
    "condition_pivot.plot(kind='bar', color='blue')\n",
    "plt.xlabel('Encoded Sale Condition')\n",
    "plt.ylabel('Median Sale Price')\n",
    "plt.xticks(rotation=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = train.select_dtypes(include=[np.number]).interpolate().dropna()\n",
    "sum(data.isnull().sum() != 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "第四步：分离建模的特征变量和目标变量。将特征变量分配给x，将目标变量分配给y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = np.log(train.SalePrice)\n",
    "X = data.drop(['SalePrice', 'Id'], axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "第五步:适当的特征工程\n",
    "特征工程是使用专业背景知识和技巧处理数据，使得特征能在机器学习算法上发挥更好的作用的过程。过程包含了特征提取、特征构建、特征选择等模块。 \n",
    "特征工程的目的是筛选出更好的特征，获取更好的训练数据。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "                                    X, y, random_state=42, test_size=.33)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "开始建模我们先创建一个线性回归模型，首先实例化模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import linear_model\n",
    "lr = linear_model.LinearRegression()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = lr.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "评估预测因子和目标变量之间的关联程度，以便对新的数据集做出准确的预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R^2 is: \n",
      " 0.864746341058\n"
     ]
    }
   ],
   "source": [
    "#特征变量能解释目标变量中约86％的差异\n",
    "print (\"R^2 is: \\n\", model.score(X_test, y_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RMSE is: \n",
      " 0.0230514681919\n"
     ]
    }
   ],
   "source": [
    "#对测试数据进行预测，其这个值比r平方值更直观，它表示我们的预测值和实际值之间的距离。\n",
    "predictions = model.predict(X_test)\n",
    "from sklearn.metrics import mean_squared_error\n",
    "print ('RMSE is: \\n', mean_squared_error(y_test, predictions))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5cxeqq1PhdotwOKbWrlKmaZo2ER/kdrtx3333GWvcwu3YsQPBYBArVqwY8lpHRwfsdjtc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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e570c588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制散点图\n",
    "actual_values = y_test\n",
    "plt.scatter(predictions, actual_values, alpha=.75,\n",
    "            color='b') #alpha helps to show overlapping data\n",
    "plt.xlabel('Predicted Price')\n",
    "plt.ylabel('Actual Price')\n",
    "plt.title('Linear Regression Model')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "分析：如果预测值与实际值相同，则该图将为直线y = x，因为每个预测值x将等于每个实际值y。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用岭正则化(Ridge Regularization)来减少非关键特征变量的影响， 岭正则化(Ridge Regularization)是收缩非关键特征的回归系数的过程。现在再次实例化模型，岭正则化(Ridge Regularization)模型使用一个参数α，用来控制正则化的强度。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过循环赋于几个不同的 α值来进行实验，并观察它们如何改变我们的结果。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Pf8I333yDV155pcfj7uzqq6/G7bffjpiYGFx00UXGc8uWLUNWVla3ddqysrJQVVWFoqIi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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e55adf98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SFLgRQgiJumhnxLpe78gRGT4fgnZw9ndqsa9Zr2hN2VL7KhIJCtwIIYREXXFx\nHJqbBbhcEnw+AWYzg8Oh9jkj1nUa02JhaG8X4XRKGD+eB1b9nVoMlfUSRYa2NhGFhYkhg7JoBqjU\nvopEgorEEEIIibrKSt41oKlJhMcjoKlJxOHDMior+5Yv6DqNmZ6uQpYZfD7+dTSmFrvWZDv7bB8E\nAfjqK1PI4rvAyeu8ERJtlHEjhBASdcePS1CUzoBGEABFEXD8eN+mMuPjNRw9KsHvB0wmPq2Zm6tA\nloGcHCXk1GJfpjADs16rVo1CZaUcdE8geB0d7QYlg40CN0IIIVGXmang229laJoAQQAYAySJITNT\n6fW1XC4RpaUmtLYK0DQB7e1Aa6uA/Hw/Nm0KPSXZ3ylMl0vE3/9uQ1ubCEGAcc+8PCUoKKPdoGSw\n0VQpIYSQqJswgWfEEhI0WK0aEhI05OYqmDCh9wGNPh0ZF8egqoCqAlYrw1lnKWGDsP5OYRYXx0EK\nSJoJAqBpApxOKSgo69qrlHaDkoFGGTdCCCFRo09PVlRIqK8XkZamwmLpX0BTUSHh8GGevZMkwOsF\n6utFfPSRGS6XGDJ4C5zC9Hr51x4PcOgQH9uECT1PnTqdEjIyVLS1CVBVnjUEeNAY+B5oNygZbBS4\nEUIIiYqu05PJyRrq6kScf74f2dlKnwOaqirZCJ7a2wUwxqdeq6okLF06OuT0pz6F6fcDhw7JUBQB\nHo8AUWT48EMrcnMV7N9vxooVzXj7bWu3dXD6+RMnKqip4TtjTSaGa6/1dLuXw6FhwQK3EbAuWpSE\nsWPVfr1nQsKhwI0QQk5R0S6Q23V60moF0tM1ZGcr/SpzMXasioMHZbjdPGgD+NSl2czCFt3VS3sc\nO8YzdX5/55g0TehYp6Zi4cIkpKdr3dbBBZYGGTdONTKGS5Z0fx96wNrUJODwYR5kHjwoIzdXCgoO\nKyokVFXJFNSRfqHAjRBCTkED0TJqoHZYZmcryM2VcOCACYwxCALf5Wm1hr++PoV5663J8Pv5pgaL\nhRlTnn4/jBpzoqgZYw0MBCOdAtUDVpdLMnqaqmpwcJicrIUM6vrzeZNTEwVuhBByCupp8X5fs2MD\ntcNSz34lJWlobhY7xsuQlqb2eH2HQ8PMmR6UlFhw/LiEpiZ+LmM88PP5eCHfQIGBYLiCuF0zlZWV\n/D37/TACQ0EAfD4evHm9gKJ0D+pMpr4XJCanLtpVSgghp6CByI513WHp9QI1NSIqKiQUFdmDCtf2\nhp49u/ZaD+Lj+Q7VvDwFJtPJNzzoY3I4VEgSM7ohOBwq4uJYt6DvZIGmnqksKbEYRXn37jXB6+XB\noD6VyxifyvV6BZjNoYM6qveyBRHZAAAgAElEQVRG+oICN0IIOQXp2apA/c2OBXYeSE9XUVcnIjlZ\ng9MZuutAb6+9enUz/vGPWlxzTTu8XgFtbQImTeq5Lpw+pmnTvLjsMi/y8/247DIPpk/34tlnG5CQ\n0LtSHqEylfomDIdDhSjy60mSHhxqcDjUkEEd1XsjfUFTpYQQcgoK1ZczGvXH9OnFoiI7qqqkqE7F\n6srLTbDbGUSRt6MKtbM00o0XvS3lESpTabUCkyf7MGEC33QQuAHhuus8eOyxBAAqWlt5aRFZ5kEd\n1XsjfUGBGyGEnIIGuv7YQG1UiGRtXm82XvS2sXu4dXwTJqhhr6N/zl2DOtpVSvqCAjdCCDlF9TZo\n6Y2B2qgQSUA4EBsvdNdd58G2bTa43SIsFp45S0joOXM2kJ8zOfVQ4EYIISTqwk3FXnedB0VFdjid\nEnJyRMyZE7rzgT7VWVkp4/hxCZmZvF2W3a5vMOg8tmtAOFDZPpdLxGOPJSA5WYOiCPB6gbo6EY8/\n3kCZMzJoKHAjhBASdaGmYvX1Xnowd+yYiN27Q69PW7p0NJqbeUFbRRHw7bcycnMVWK0MksSgqp0B\noSQxtLYKKCxMRFpaZMFdX+iZPKsVGD9eNa779ttW5OdTRo0MDgrcCCGEdBONrgpdpwiLiuwRTWEG\nFrTtDND411lZKs4+2we7ncHlkhAfz/D11zL+/W+zsZ5NFLsHd9HYCDBQmTxCeoMCN0IIIUFcLhFL\nlozG0aO816fJBHz2mRmbNvWvyn+kgY9+nM8nBNU+8/v58W63iDVrmgDwYFAvbKtfT9OEoODuZBsv\nIg1SB2rdHiG9QYEbIYTEqL5mzTZujEdpqQmaJkDTeMDkdJoxa1YqCgq8mDChbxm4SAMf/Ti9F6kg\ndHY7CLeezevlv9cDzYyMzuCuJ73ZgTpQJVQI6Y1BCdw2bdqEvXv3IjExEevXrwcAbNmyBXv27IEs\ny0hLS8OSJUsQHx/f7dy7774bVqsVoihCkiSsXbt2MIZMCCEjWl97kbpcIt54w4a2Nh4wKQpPeTHG\nM2MffmhFbq7S6z6bLpeItjYRlZUSJIkHZ7IcOvDRAySHg9c+UxTBKGjb9fi0NBUHDsg4fJg3kxcE\noK0N+OADK+6+GycNMnuzA3WgS6gQEolBCdxmzJiBWbNmYePGjcZr55xzDm655RZIkoS//vWv2LZt\nG+bPnx/y/FWrViEhIWEwhkoIITGhLyUx9GDP7RbBmAClS1MCQehca2Y2R95nMzCIzMpSUV0tobpa\nwpw5Gm6/PXRttc7aZ2rQrtKugdKCBW5s22YLWs/m9QqwWIDPP7egulrtMcjs7bo1Ku1BhtqgtLzK\nz8+H3W4Peu3cc8+FJPE/GN/73vdQX18/GEMhhJBTQl8W0uvBXmIiD3D09WU6WWZBa80qK2UUFdlR\nWJjYYy/SwCDSZOI7MsePV2G3I2y2Sg+Q/vCHRmze3IAJE1Q4nVJHtksMOu788/0YPVqD1crHx3ee\ndo5TD1hDGYjWX4QMpGGxxu2DDz7AxRdfHPb7jz32GADgyiuvxMyZMwdrWIQQMuyFW8fWm4X0+jXe\nessGn0+Aw6GhrU1AW5sITePTpJIEWCyda828XmDvXpPR1qqnqVi9FpvPJ8BsZkhP5707a2qEbmMJ\nNbaTTfnyjgR8HIcOyfB4BGOcQM8BK61bIyPNkAduW7duhSRJuPTSS0N+/5FHHkFycjKamprw6KOP\nIjMzE/n5+SGP3bFjB3bs2AEAWLt2LVJTU6M2TlmWo3o9MjToOcYGeo5cTQ2wfLmM9nZ01EUD9u2z\n49xzNbhcAlwuAYmJQH09nz6Mj2f4f/9PQGqqNeQ1FAVobhbQ1iZh0iSGmhoGl0uAxcIgSQIYEyBJ\nwNixImprRaSlAVYrD4i8XuDQIeC22xy47joNixZpSE/n19+/X0ZzM19/5vXCuH5mJk76HDduFKGq\nIqydQ4aqAq+9lopVq3jgtnQpUFrK34PVCng8AmQZGDdOhNksdrSkkkLeKzUVKC4GNm8WUVMjID2d\ndYw9OQpP6NRAfx4H15AGbjt37sSePXvw0EMPQeiak++QnMz/8CQmJuKiiy5CeXl52MBt5syZQRm5\n2traqI01NTU1qtcjQ4OeY2yg58ht2GBHU5PFyKr5/UBZmYzycmD8eAV2u4ADB2TExWmw2YDERBXL\nlrGgbFXgNVJTgaYmGX6/AKdTQ1aWiuxshvx8P+rqpKC1ZhUVEpxOGT6fHrTxzQFeL8P776vYvZsZ\n69RGj7agvr5z8wDfparizjvZSZ/jkSOJUJTu/1RVVCioreW7RmUZePxxnjVMTZWxd68JyckaBAHw\neHgGbc6cRtTWhp6WlWXg7ruDX6Mfr8jRn8foyMzMjOi4IQvc9u/fjzfffBNr1qyBxWIJeYzH4wFj\nDDabDR6PB1999RV+/OMfD/JICSFk8PSmhIfTKUFVYUxDtrfzKUK/nwEAGhrEjp2bnZX+u25QCFwL\nZ7EAeXkKnE4JFgtDQYE37P2LiuyoruZTsU6nBE3j//MtigzHjknw+YBFi5IwdqwKq7Xzul4vz/4x\nxrNc4Vpe6SKd8g3cNKB/hoEdG/pbTJiQ4WJQArcnnngCpaWlaGlpweLFizF37lxs27YNiqLgkUce\nAQBMmjQJd911F+rr67F582bcf//9aGpqwm9/+1sAgKqqmDp1Ks4777zBGDIhhAy6SNZzBQZ2Bw7I\nKC+XAQhGdknTBIwaxa/n8/Hr+P2d9+i63qtrYGSxAFlZKgoKvD3ungxcG9Z5fQa3m0+pCgJw5IgA\np1NESooGiwXIyFBRXi6DMQGqKuDjj0O3vAp3n0jXoHUN4vpSFoWQ4UpgjLGhHsRAqaqqitq1KBUc\nG+g5xobh/Bz70yqqqMiOkhJLt+ySHkR1D0IknDghomODPlSVZ70cDhU5OSq++05CY6OIxEQtqLdm\nYFDW9Zp6YBRJYKO/1+3brWhs5GvJWltFo2BuYqKGMWPUjl2gAhobRfh8fNfnpEkKRo0ywePxnzRI\n7JpBi+ZnSvpvOP95HEmG/VQpIYTEmv5md05WwqNrbTZFETrqrfHyF7w/J8+0ATyAa2sTjGnFUNmq\nrkVl4+MZGGNYt27USQNPPbO1YIEbS5eOxn/+IxtBmyTx3aOaho7dpHxTgf79UO8vnP7UTqP+oiTW\nUOBGCCFR0peit4G6Tlv6/UB1tYTmZgFFRXZUVgav9fJ4eBAkiryzgNnMgzOrlSEnR4HDoeLxx5vw\n9tvWHrNVemDUU+Cpv79QmUQ9+Fu0KAlHjvBdqCkpGmpqJNTXixBFIDvbD0EAmpp49s3plDBq1MDX\nTKP+oiTWUOBGCCFR0t/sTuB6LlXlO0QBIC2NoaTEgpqazvVifj9f5A/w4E1RBPh8fIfkqFEali1r\nMQKr/PzIslXhAs+NG+NRXm7qMZPocGjYvLkBS5eORnOzgMOHZSgKX/9msQDl5TKysztbWDU0iDhw\nALBaRVx3nSei8fUF1WkjsYYCN0II6YfANW2HDsnw+xFUc6w32Z3AacsdO6yw2xnS0lToG++TkzXU\n1fHgrazMBLXjsnyKVC+pxNDaKmLJktHIzVXw5ZdmMMbXdN19d1uPU7ahAk+/H3jjDRsEATCbYYwn\nMJMY+BlMmqRg1y4TfD5+vtnMoGl8M0JdnYjsbBXffCNDlnlAl5Ki4bHHEgZsswD1FyWxhgI3Qgjp\no65Ti4oCVFTImDBBgdXat+yOPm3pdEqoqAj+K9pqBc44w49vvjHB7+fdDDSNZ9sCA66kJBVff23C\nnj1mo9tBebmMN96w4cYb28MGcF2nFfX6bH4/v35jI3/Pyckaxo5V4XJJ3T4DjwcoLzfBZOLjU1We\nCTSb+Vq32loRNhtDXh7fnODz9W46uS+ovyiJJRS4EUJIH3WdWrRYgJwcBbIMY41ZuOzOyXafhlub\nVV8vIT1dg6oKaGoSoWkMbndnK6rkZA0NDZJRKw3gnQQ0DWhuFvGPf9hQXm4KmeHqOq3odPIpXrud\noa6OD4QxXh/O4xFw/vm+bp+ByyV11JJDx4YJ/rmIIoPDoYIxPvUbWL6TNgsQErlBaTJPCCGxKNTU\nosUCTJyooKioCcuWtYYN2pYuHY2SEgsqKmSUlFiwdOnooObpCxa4YbMxowG6nr3LzFQgikB6ugpJ\nYkbjdkkC4uIYsrJU+P0waqn5fDzYEgR+Db8/fNN1fVqxoMCLnBwFSUkaJk1SIEmd20D16/DfC90+\ng8CpYj1wFEUgPp5hy5Z6XHmlx+ghqqPNAoREjjJuhBDSR33ZsehyiR27L6Vua8Y2bbIjPl4zsnAr\nVjR32xFaXByH6moZJhMPEGtqJLjdAhQFyM1VYDLxQE4Q+C7TwA0MvM6agGPHJFRUhM5wBU4r6jXQ\nVFWA1cqMzJ3JBEyYwEuNdP0MTCbA7eZr1ySJT4+aTAzXXuuBw6EFZfX0z4s2CxASOQrcCCGkj3q7\nY1HPtB05IsPrFeDx8EAqL49n0f72Nyuys9WwpTjWrRuF+HjN2IxgMgFjx6qw2VhQkHfmmT7s329G\nWZleV40HXIIgdJTkELBvnxkuV8/tpvT3J4oMHo/YUXqE71ytqJAwZYqv22fgcKhwuwVkZPCAVP9M\nlizhwWDgZoHmZhkJCeHbahFCuou4c8KxY8fw6aeforGxEQsXLsTx48ehKAqys7MHeox9Rp0TSFf0\nHGNDtJ5jf7ocdL1GJDsW9QzW8eMSmpo6OwwkJHQer3c40Gu42e0aPB4BdruGxkapY6E/w/TpfNtm\nqHu6XCI2bozHxx9bUFsroqmJB11WKw+8JIkhN1fBtGkn7x7gcom4/fYk/Oc/JggCz6iJIl+zNmeO\nG2vWtITsDaoHkXpB37Y2sdtnTH8eYwM9x+iIaueEkpISPPfcc5gyZQp27dqFhQsXwuPx4KWXXsLK\nlSv7NVBCCBkK0eph2Zsdi/p6sPR0Xs9MVTvXoUkSkJnZGbSVl8tQVV7vDOCN5M1mvnNV04C//92K\n//3fOuTnK2HfV3Iyw+jRKo4cESCKvCyH2cw7GphMkW0IcDg0nHGGYmxW8Pt58JaWpsLtFsN+Bvn5\nPRf0pQwbIX0T0eaEV199FQ8++CDuuusuiB0LGbKzs1FRUTGQYyOEkAHTU5eDgZKWphprxCZOVJCY\nqMFiYcjJUXH99e3Gov2aGimgLhsP5BRFgNstwO/nba7cbhELFyYFbWgI975MJt4SKy9PwbhxPGgL\ntxbP5RJRVGRHYWEiiorscLl4psxk4tnAvDwV48fzr8Ot5dOvceutySgrk40m9IPxGRMS6yLKuDU1\nNXWbEuVrJYQwZxBCyPAWrstBRYWEoiJ7v6ZPwwlcDxa4Pk1fx7Z0Ke9OoPcaFUUGq5XhxInOzBhj\nvOen2czgdncvgvvWWzZ4vUJQ4d6MDBXHjknQNPS4Fi9chmzFiuaI1/IFXsPlktDeLhjr+HhZECr9\nQUh/RJRxy83NxUcffRT02q5duzBx4sQBGRQhhAw0PfsVyOMB9u0z91imI5RQWapQ9IX555zjR0sL\nD2gmTvQHfa+gwAuHQ0VCgoa8PF4TLtT/IzPGi9oGFsEtKbHA5+P13Q4dkuH18iK61dUSEhNZx3o6\nBYwBSUlax7q0zrGGy0K+/bY1qExIQYE37HRn4DXMZr6EWtMEoyYclf4gpH8i2pxw/PhxPProo3A4\nHCgrK8OZZ56JqqoqPPjgg8jIyBiMcfYJbU4gXdFzjA3ReI5ds0uahqBeoDpN4+2iwq1jKy2VsXBh\nEtxuERYL6wi6WNjG7LW1Ytjj9UAocGxHjshobeXTpACMDQ2CAKSkqB112wQ0NorIyOC/P3CAr48z\nm3lJDlEEJk1SoKq8s0NOjhK041O/d2FhYrduDQAvJlxU1BTR5xp4jcC1ejabhpwcNeh+9OcxNtBz\njI5INydIq1evXn2ygxISEnDllVciLi4Oubm5yM/Px2233YakpKT+jnNAtbS0RO1acXFxcLupztBI\nR88xNkTjOcbHM1x6qRd1dSLMZuD00/2IiwM8nuBsmd6j86qrvN2u4XKJuOWWZNTVSdA0AR4Pz3bF\nxTEcOybh5ZfjceSIjKYmEd99J+Mf/7CiuDgODQ3dj29sFHHJJb5uY9MzVZmZClpaRGNDgygyeL0C\nmpt5FwO3W0R9vYjGRhGiyOu6+Xx82jUhgWHUKAaXS4Lbza+RmMggCIDfz3uIXnKJD19+acJ338lB\nGT5N45+NPraTCbyGJAGjR2vw+wWkpGiYPt2L5ctbjACV/jzGBnqO0TFq1KiIjotojVt9fT3MZjMu\nvvhi47XW1lbU19cjOTm5byMkhJAh1nU3ZFGRHVVVfO2b3883CXi9AlQVIWueFRfHwe3unFoUBN6b\n0+WSUFJigd3OgqYdKytlNDQIkAP+5nW7BRw4YILPJwStp9PHtmCB28i+JSVpqK8XO8pysI7uCILR\n0N3j4RGXycRrt+n3bWwU4fUKkGU+Hn0Nnf59fc1Zb+vShdL1GpLEs320k5SQ6IhojVtRURHq6+uD\nXquvr8dvf/vbARkUIYQMBb3NlNfLp/gaG0X4fDyIW7JkNFavTghax+Z08hIdgQtOBIF3K+BZsc7X\n/X6gvl5Ee7uAlhbeXaCtTTCasDc0iCHX0zkcGlasaAZjPMjjjeYVxMfDWP9mNjOj3IfeJ5T3LuUD\n4wV4efZNVfm6tUOHZHz3nQSvt3PNWdeWVz2tZQsnGtcghIQXUcatqqoK48ePD3pt/PjxOH78+IAM\nihBCBkOoArwbNjRi0aIkmEwM8fEMaWk8qCktNeHoURnjx6vGbsuJE/1wOHhNNk0TjD6ecXEaCgp8\n+Oork5G9O3hQNto8Abwem85i4ZslmpoELFqUhLw8xRgPADz2WAIEAUhIYGhqElBZKcFmY0ZWjbe5\nYmhr4xsQ9L6lANDezttf6dOr7e0CLBZ0TK8KaGsT8PjjTUGfR2WljOPHJbjdPKvY2521valtRwjp\nnYgCt4SEBNTU1CA9Pd14raamJuL5WEIIGW56Kg6bl6dACqhYcfQoX5PWtR6ZIPC1Yrm5Clyuzq4G\nl1ziw4kTgrHZQS+LETylql+LYdIkfuHDh2WYzTzw0sczaZJinJuUpOLECb6mze/vDMhaWwUAAuLi\neODm9QpGe6r4eA3x8QyKopcg8aOxsbOQrsOh4u23rUhN5VOyzc0CDh+WoSgCvv1WRm6uQkVzCRlG\nItqc4PF48OqrryIlJQWapuHgwYP405/+hGnTpuGMM84YhGH2DW1OIF3Rc4wN0XiOmzbxjQOBwZS+\nUN9uZ0GL9GtrRSgKb7Te0iKitpY3dk9K0vCb3zShsVHEmDEazj7b33ENvgnAZGKorxchinzTg8nE\ns2uM6WvQGJKTNaSkMJSVyXC7edYuMVGDycTHc/iwDKsVaGkBDh40QVU7z09N5btSfT4+5uxsFamp\nGnw+wZiu1WunmUwMsgy0tYnG+bLMs3hWK58aPnJERk2NhPZ2PmbGBCgKDwj1DQzRRH8eYwM9x+iI\n6uaEG2+8EbIsY8uWLairq0NKSgouv/xyXH/99f0aJCGEDJVwBXhdLgnLlrUELbA3mYD2doa2NsFo\n2N7QIOC99yxITbVjyZJWOBwaiorsUNXOzJrVCqSna2CMdz5obhaNYMpkYvD5+Dq1Q4f0aVSeKTt0\nSDYK1jLG68uVlZmgKIIRTIoiw5gxKnw+ARMnBre9GjdORUUFv4/Xy9fWmc0MNhtDXZ0EQeBTqXy9\nnYDJk/3G5+Hzdd6DB7NUNJeQ4SSiwE0URcyePRuzZ88e6PEQQsigSEvja9UCgzePh2ee1q0bhUmT\nFDDG4HaLOPNMH95914bGRrEjkBKMWmrvvGNFWZmMDRsaQwaDfj+fyvR6+XoyUeyc4hw1ik9tyjJg\nswGMsY7dnAKqqiRIEmC3azh2TIaiICBog9FrNClJMzoi6KqrJVgsvEWVvgEBENDW1lkHjk/r8uMZ\n4+v5jh6V0NrKS4nozeR7ao9FCBl8YQO30tJS5OfnAwC+/vrrsBc466yzoj8qQgjpp1AbDwLXaHUt\nW+HxdBanraiQO4IhhrPOUtDaKiIuToPfD7S08OP1KUi/XzD6b3YNBr1enj3Td6qKIjPWtkkSMHas\ngupqCaoK5OYqqKzkPUoZA+rqeH23jAyG2loGQOyojcaMgKuhQUR8vIaWls7CwZrG189lZqrGTla+\nHo63KrRamfF1QoKGtDQVtbUiXC4etIkiL2miKHyThcOh9rokCCFk4IQN3J577jmsX78eAPDHP/4x\n5DGCIOAPf/jDwIyMEEL6qKeNB4F10jZsaOxo+yShvFzG2LEKnE7JCGzcbsHYSdrWxjcF2GwMssxT\nX7ztFAs7xaoXz+WZMgE2GzqmW3kQd+IELyfidvO1bBYLD+wUBbBaGSZNUmAy8SlXq5VBUTqzZG1t\nvC6b3c6zZXV1Is4/34/sbAVnny1g714zyst5pk4vEyIIvNm8xcLX0Y0bx9t+VVXx9XyTJimoqZFg\ntfLiwJmZKqZP90a1XyshpH/CBm560AYATz31FMSu+X9CCBmmwvXc1Buy6wLLVtx9dyJ27LDC5+Nr\n2PgvARYLD1gyMlSUlclBxWsBHmiVl0tGJi0wGGxpEZCRwXD0KP+r1u0WjP6ofr+A2loReXl+OJ0i\nAMGYxtQ0IDubB20An9ZtbeU13Gw2vuHBZOK7UfX2XMnJGo4fl2C18mDO6eQbKmS5s66bLPMp0vh4\nhvR01Siwm5SkoaaGT/OOG9c5JZqTo1BZD0KGmZOucdM0DbfeeiteeOEFmPS/RQghZBjraeNBKC6X\niJISC1pb+Ul6AAXA6BFqMvGMVEsL32SgaehY3C9Clnk27O67RyM/34+2NhFpaSrOOYfhX/+yorVV\nQHt7cKFeXihXwKFDpo7aawwmkwazGWhqEnH4sAnJyRqSk1XU1UmQJAaLBbjoIh8OHuTZOT1o83p5\nVlGWgaoqyVhPZ7FoaG3l4+M15gSYzQzXXecBwNetLVjgRnFxnNExQkfr2ggZnk4auImiiMzMTLS0\ntFB7K0LIiBC41szr5YGcz4eQrav0adWmps6opWuABfCsVXW1hPh4vi7s6FEZfr+A0aM1jB3LA5z/\n/MeEyko+tXrggIzDh2Vj44BeLLcrv59nxcxmBr+fd1HQx11fL6KmRjR2oaanK2hoEFFQ4MW//202\nruF0SlAUAR5P565Qv5+XILHZYNSkY4whIYGvWwvMpEWj1RUhZHBEtKt06tSpePzxx3HNNdcgJSUF\nQkAHYtqcQAjpr5NtJOgtPRBpauJrx1RVMLJiS5eOxoYNjQD4lOr27VY0NnbPtAkCgyh2BkFlZTwI\na2qSAAjGrsy2Nt7JoKFBhKrygEtR+DSp3y8gKYnBbNbQ3q5Pp7KA+3SW3vD7YXRf0NegNTfza/r9\nMMqD6IV/bTZmBFo+H4ydoPr1rFagtZWfK0kwsnoZGWq3zGPX9X56Jo7WtREy/EQUuL333nsAgNde\ney3oddqcQAjpr0g2EvSWHogsWpQEsxmwWDSkp6sd9dgEbNpkR1kZr5124oQIt1s0ug3oGBNgtWr4\n3vcUeDwC7HYe+LndohEc8SBNREtLZ8Dn8fCgThB479DaWgFpaSqSkjTU1YlgTN+5yY+XJGYUutU0\n/WsGr1foyNbx/1ZWdtZ2a2sTggItVQUOHeKBYiDeSYHvJDWb+bo2SQo9BUptqggZGSIK3DZu3DjQ\n4yCEnES0s1IDoTdj1I/VM14ZGSpEMfxGgsBzmpokJCbae7y+w6F1a13l9wM1NRK+/VaG1aq3i+K7\nRQMmEowdmKLINwmUlZmQlqaispLXRAvcvBAK34DQufO0pkYyfi+KzAjG9LZUZjMvxqtpPKiz2xna\n2kQjwJMkHgQ6nRKyslQ4HCocDs1Yn+Z2AwcOyB3Hdt5n/HheyiQ9XaMpUEJiRI+BG2MM77//Po4e\nPYrc3FzMmDFjkIZFCAk0EFmpaOvNGAOPPXFCRHu7iLY23gFAL/zadTov8BxersJy0s8gcK2b2y0Y\nwQ3ANwDwemzM2OkpyzxgA3jwYzIBTqeMxkYRzc28Kbuqhg7WehKYyRNFPg3a2ioYO1j1unAWiwaT\niaG5Wc/adY5DEPiUqB54df28x41TcOiQCVarBquVZ9USExmeeKIBb79tpSlQQmJEj4Hbli1b8Mkn\nn+D000/HSy+9BJfLhblz5w7W2AghHSItbzHQesqoRTpGl0vEokVJOHKE74zUM2KqKqCmRjJqi3Wd\nzuvtZ+ByiWhrE1FZyW9w4oTYLejSNL42jK9/471DHQ4NisJ7esbF8YiLrwsz9SpoC1wvF0gUeU02\nq5WX9ZAk/nuTCRg9WkVjowifT4QgCBAEhrg4Brtdg6oKyMlRjUC1qMge9HkkJABnnOGHyQRMnKgE\nBWn5+TQFSkis6DFwKykpwerVq5GZmYljx45h3bp1FLgRMgR6W95iIJwsoxY4Rn1K0ufjZSn0AEK/\nxpEjvGSFx8ODJUHga7F4c3TeNaCiQkJRUed0aNfPQN8t+re/2QAgKIgMHGtWlorS0s6gS58yBPSS\nHHx6URQZEhMZxo9XUV4uQZb5mjC9OC4P7CLD21p1rmMLnIbVNL7zU+9YoAdtDoeK+noRaWkaMjI0\nlJfLxpglCTj9dH9QdjHUz4TVymuvFRU1RTxWQsjI0mNVXbfbjczMTABAVlYWWlvp/9oIGQppaaoR\nbOgGu85WTxmvwDG63QL+/W8TnE4RDQ18KnTp0tFGtq69XYDZrK8jAwABcXG8TIW+gD85WYPTKaOk\nxGKcG/gZ6K2kmpr4poLA4/SxNjcLOHpUQmmpqaOBu972qes74y/YbAzjxilIS+PTtZLEUFEh4csv\nTWhtFUJmz3T6Z8IzZBrGjvXDatWMnqSCAGNalhe8VdHcLGDiRD/i4nggV18vIj9fMWqz2WzMyAi2\nt/NsHN+MIAZ93oGo9sN4LLgAACAASURBVBohsa/HwI0xBpfLBafTCafTCU3Tgr52Op2DNU5CBpzL\nJaKoyI7CwkQUFdmNfyCHgwUL3MY/5MDQLDI/WdZvwQI3JInhm294dkpVBWgaz7g1NQnGFKso8qBD\nFJkRvKmqgEmTFFx6qQfp6XyNln59PTgM/AyqqmCU+EhPV7sFkZWVMsrLZbhcUtBuUcY6s2A6PqXJ\nA9Izz/SjsVFCerra0dmgc1NBT/huUCAuju8CFUUBf/5zPcaOVSHLDLLMOgrmMpx1lh/TpvmQnq5h\n1CjeqWDiRAXp6Txo9Xp5o/vWVrGjnpuA1lYRR48GB7LD4WeCEDL4epwq9Xq9uOeee4Je6/r1//zP\n/0R/VIQMsuG++H841Nnq2kAdCM7w8LVUfuzfb4am8bVrfFG9AJdLgsslGdewWHhdMr0wrr52a926\nUWGDw8DP4J13TBg9urPER+BxAHD8uGRk2YDw683070kSbxP15ZdmmM0MLpfUrbRG9/M667Hx4rq8\neTvAd6quX5+A559vwKuvxqGkxAzGgIICL+6+uy3s+0xLU7BvnxmK0tn4XhD4pgmnU8L48WrQur6h\n/pkghAy+HgM3CsrIqWK4LP7vyVDX2Yqkun5bG5/mbGoSg6Ykfb7O9kqffWbu6DoAYyH9pk08QI4k\nOFy2rBVxcXF4/33VOE5f79bSIqCoyI6kJAWAycjohQvaRBEdmwMARRHg9wPHjvG1ZV3XtAUX54XR\n7cDjEYxabH5/Z9eDI0ckPPZYAjZsaMTq1cHBVLj3OWGCCsCHzz+3wO/nNeJMJh4E60FhYIA61D8T\nhJDBN3zmgggZQsNh8f9wp2e8Cgq8yMlRUFDg7ZaRTEvjNcZ4IMNf0zReCFYP8DoDOqHL15FPCS9a\npBnH6evdeBN2hpISCw4cMCMxUevo0ckgigx6xwJZZkYwxPt36mPk11QUoWNNGuv2M6GPd8wYDUlJ\nDILA72mxBB/v9fKuCoHTt4F6ep8TJqjIylKRl6ciOVnraJcFI7NI69gIObVR4EYIYnOh90Cs2dOL\nvjocKpxOKWixPMADkoQEhtxcBYmJGiwWhpQUFc8+2wCHQ0NxcRxUVcD48Sry8hSMH69CVTuDm0iC\nQwBIT4dxnNfLuxpMmsQ3FfC2U4LRHJ4HYvovXorDZuO/RJF3FNDHOGGCAkFgaG/vDOg6gzge7J1x\nhh95eQry8hTExfFSHqLIjB2gesDK1/GFDv57ep+BQR1fv8evr/+M0jo2Qk5tEXVO6K9NmzZh7969\nSExMxPr16wHwGnF79uyBLMtIS0vDkiVLEB8f3+3c/fv34/nnn4emabjiiitw4403DsaQySkm1pps\nD9SavZNd92Rr8SLJbEY6/acf53RKqKjgf5X5/TDKaMTFaWhvFzp6eDKMGqXB4xHAmID4eA2MMQAi\nMjNVTJvmRWqqhtRUzZhe1TR+HsBLbIwezVte6bs+Af59k4mvTdNbaEkSkJSkwWLpOfjXx6/vtl23\nbpRRGy/wM5w82Q/GGNxukdaxEUIGJ3CbMWMGZs2aFdQ665xzzsEtt9wCSZLw17/+Fdu2bcP8+fOD\nztM0Dc899xwefPBBpKSk4P7778eFF16IrKyswRg2OYUMh8X/0TRQa/YCr6uvK/P5gEWLkrB5c4MR\nvIW7x8nWsPVF4DVraiQj8xU4fZmQoGH8eNUYsyzzgCwlhe8iffNNG7Zvt+L8832QJH6uvqZNFBmm\nT/dhyZLWoKBV03g7LMZ4q6rTTuPBGwCMHRtZdqynQJjWrhFCQhmUwC0/Px8ulyvotXPPPdf4/fe+\n9z18+umn3c4rLy9Heno60tLSAAAXX3wxPv/8cwrcyICI9kLvoewtGmmx2t6OUb+uvq5M0/j045Ej\nApYuHX3SjF7XzGa4Yru9EXhNn08vssunFl0uvrvU6wW++44XBDaZGJKT+T0OH+58D+3twPbtNuTm\n+lFfz4/VG7OfOMGDXqtVw8GDZphMDGlpGtasaUZqqtbn7NhI2BRDCBlewgZuP//5zyO6wB//+Md+\nD+KDDz7AxRdf3O31+vp6pKSkGF+npKSgrKws7HV27NiBHTt2AADWrl2L1NTUfo9NJ8tyVK9HhsZg\nPceaGmD5chnt7fwf42PHgNJSO/70JwXp6QN+e+TkiDh2TETnDkfBaFa+Z48dpaV2PPaYghUruo/x\nsccUbNsmorpaQEYGw6JFmjFm/brHj3fWPgMAmw1QVTNeey0VixZp2Lw59PmpqUBxMbB5s4jDhwV8\n9pmAtDSgocGGurrIP6PA5xh4zXfeEVBXB4wdK8BiMcFsBpqbBbS0SPD7OzslVFWJkOXg96Dv3Gxo\nMCEvT7+TgPZ2EV99ZUJVFfDttwLa2/l3fD6GRx5JxZYtCh5/PNQoTQCsPb6PpiYJVmv3siPNzTJS\nU3s+NxbQ36uxgZ7j4AobuHWt1zZQtm7dCkmScOmll3b7Hguxh1/oXvbcMHPmTMycOdP4ura2NjqD\nBJCamhrV65GhMVjPccMGO5qaLEFZr6YmYMMG76BkUubMEbF7N5+CO3ZMgt8vQpYZHA4FisLHcvfd\ngCD4g8Z44gTw4x+LRlHb0lJg925mZNI6rysDEDsKz3Ze95tvVCxYIKK9nYU8PzDDd/iwjKQkHjD5\nfL37jLo+R1nm72fOnM6pR5+PB2qjRomw2QRjZ2ZSkorKShluNy/jYTZ3tsESRaC2li/TyMhQIUmA\n0ykiJUXDd99JaG3tLMhbVwe43QyPPOLFmjUtfXpOiYl2eDz850RvE+b1CmhvV1Ba2jBip+ojRX+v\nxgZ6jtGhd6o6mbCBW35+ftQGE87OnTuxZ88ePPTQQyEDspSUFNTV1Rlf19XVISkpacDHRUh/9ae8\nSDSmWAPX7P3tbzYIgobkZBXV1ZJRP02SGMaODb6uy8WnCEVRM8YcOHXncGhYsaIZCxYko7mZl7zI\nzFRRU8OnJP/9b15c12bjU4wAUFYmY/78ZBQUeLF/v7ljDAJaW3nng+99j+8G1QOXt97q3nu0NyZO\n9KOkxAJBAAoKfMjIEOB08r/qAqd4Geus3SZJzOjEkJjI73nsmIQf/MCDzEwRNTUSmpo6H2hnGRHe\nbgvoW+CmT/M2N3f2Q5UkXsg3kqlnQsipJ+I1bhUVFfjmm2/Q0tISlAmbN29en268f/9+vPnmm1iz\nZg0sgdu0AuTl5aG6uhoulwvJycnYvXs37r333j7dj5DB1NdF+NHcDRq4Zu9f/7IEredyu3nlf70d\nFN8Z+f/ZO/O4qMr9j3/OmYUBRkBAQBBUwA2XRC1Ec0vzVmZpuYRlLlnexJ/b1Uq5LmWURia30qtd\nr8bNzNSrmamJerNFybXUXHILVARGQHZmmJlzfn88nMMMM8CgAwJ936+XL50zz3nOc87DOB++qxll\nZayfpiWWgvP8eSWmTGkOvZ69ZzIBly6poFaLKCtj98hiysTyPqLMOnXnDl/eu1RRXoaDnavX80hP\nVyAoyIwrV5hw8fQUkJLigl9/VSMurgC7d2uQmqrArVtKBAWZ0bq1CbNnMytbVc/Ow4OV07h8WYnw\ncCMyMth9ZGUpIAjs2fr4CMjL42E0cnKnArOZg8HAISSEiUl3dwHu7gJu3VJY1ZsTRWYpBOz1Pq3d\nHq1cmYepU5tDpRLh7s5i81xcKNaNIAj7OCTcDhw4gKSkJHTr1g2//vorunfvjjNnzqBXr14OXSQx\nMRHnz59HYWEh/vrXv2LMmDHYsWMHTCYTli5dCgBo164dXnnlFeTm5mLt2rWYP38+FAoFJk+ejPj4\neAiCgEGDBiE4OPju75Yg6omayotUZVVzJGvzbtayY4crzGZOLubK6o4xQcVEAlBUxEGrFWyuIQlO\nnY7HlCnNkZOjKO84wFoyCYJYHj/HxJTJxFyfUsso1mRdRG6uAqLI3tNoINdcy8/noVBAtjZJ9c/y\n8zlMmdIc3t4Crl1TwmjkcPq0ClqtgJ07eXzyiRIRESZ5nVUF+nMcB1dXEaWlnNx9ABChVFZY2gBW\nmFetBgBObi+VmqpAixYi0tIUAERZ+EqdE3heRHR0Wa33xBI/PwFhYSZZCEpQAWiCIOzhkHDbuXMn\nFixYgE6dOmHSpEmYN28efvnlFxw+fNihi8yaNcvm2COPPGJ3rLe3N+bPny+/7tGjB3r06OHQdQii\noVBdeZHqrGr3mrVZFRoNyl2DkF2BRUU8PDxYQ3cp23LAgDLcuqWwKziTktxQUsJbCSNLISPNz3FM\ntFk2dpeK2UqvAZSX3RDh4iKgqIiDIABaLbPcZWUpcOcOu5DBwMFo5GTrYF6eAvn5wLPP+uC//82R\nxVtV7uniYk7ei6IiDbKzmaArKuLl9QKQY90A5rbV64FfflEjIEBAq1Zm3LypQFkZ67rg6soK+bZu\nbcK0afduEauLMikEQTRNHBJuBQUF6NSpEwCWHCAIAiIjI/Hhhx/W6eIIojFTVXmR6kpASF/gWVkK\nOf5KamJeUFB715kkEouKKq5XWsrJbkYXFyA42FocVBacw4bpkZTkhq+/di0vYMvWXFZmWeuMncte\ni+VN1yuo3PcTqLD8ubkxJWc2cygs5JGdzUOtZuKJ41i5EGm89IfngZISZpH76qucGvucSnsxYUIJ\nRozwQXExE6DMPcpEmNGIcosbswbm5rKkBGlc27ZmBAaaoVSy/qrOrPXX1ApAEwRRdzgk3Ly9vaHT\n6eDn54eWLVvixIkTaNasGZSVg0wIgqgWnY7HgQMa6HQKuUaYSlXhFps3rxC//qqGXg/o9RWuRlEU\nce2aEq1b184CI4lEf38ziopYLJfBwJVng7IMS4nKIkdar2QdlM4zGFh/zoqG66xXp2QRY50HbMWb\nhFYrwGDgIfUONRo5CAInx8iZTBwEgU2uULD5zOXLlLoaABXiTRKzjogfPz8BPXoYcfw4q/nm5iai\npIR1U2jWTISLC4uNe/zxUuTkKJCZae2qdHFhXRQSEvJrtQ810dQKQBMEUXc4pLyefvpppKenw8/P\nD6NGjcIHH3wAk8mESZMm1fX6CKLJIImgO3d4lJZy5e46DuHhJggCa9X03nvNEB5uxIULSnAci8FS\nKpl1S6/ncPSoWu4N6kjmqeQ+ZJY1Ey5dUsmWMrOZJRa0b2+Eu3uFyLGMv7t6VSm3efL3N6OwkLlG\npaQDlUpEaKgRhYUK6PXM5cpx7G8pgcEStZo1cXd3F6FQiMjO5qHX83BzY31ADQamygSBxaWVlUku\nV0uhyP6oVMxCJsWBOSp+Wrc24datCreqFEvYvLmAIUP08jkJCVqrcWxddee+dHYBaIIgmiYOCbeB\nAwfK/46MjMSGDRtgMpmg0TT9ApEE4SwqW78EgYPZzOqsGQwcgoJM+PFHFxgMHIqKIFu1JPckx7F/\nx8Z6yW2WLGPkpAxMSzHn7i7g+nUFDAaWBCAlDEhZkWVlwLVrKowbV4zY2GIAsIq/++MPVrojPNxU\nngnKrHaiKJZbCkXcucOSDjQaoH17I0JDTdi61c3uMzCZmNu3XTujLCpZdim7H0vKyji4uIjlLlNR\nPlepFOHiwoHnxXILYYWQckT8VLbMqVRAu3Ymm/jB++2+vJ+dNwiCaLg4JNwEwfo/C57noVarIQgC\n+MrRwARB2MXS+hUWZkJWFqupZjYDQUEm3LzJmqNzHBMzRiML3meWN5bF6OYmIi2NfWxDQphg4XnW\nHWDKlOYICBBkMXf0qBpGI4uNKynhZXejJVImo1YrylYmy/g7tZrFxGVmsrWWlEjiisXfGY0cOE5E\ns2YiJNenKDLLmmWCAiC5ONl46d6lzFKTibMqqyG5SFmMHwcPDwFBQSZcvKiCKAIeHqzor6dn7YWU\no5a5++m+dGZZGIIgmhYOCbeYmJgq3/vyyy+dthiCuFsainWiunVYBs+7uDDhJQisDEdenkIWbQAT\nTKzyPwc3N8lCxmLirl9XArCutZaRwQrElpbycuzczZvs463VijAYKspeSEidAti6mYKrnJkpWQcN\nBg537tiPWTMamRAFWILB6dNqtG9vwvXrCmRn8wAqYvVUKlFuLSXF9rm4iLL7luM4uTG8VCTXxUWE\nRgO4uwPduhmRkaGAry+PAQMMd73Pjrol75f7knqYEgRRFQ4Jt48//tjq9Z07d/DVV185XMeNIOqS\nhmKdqGkdVbneunYtw86dblYWJ54HvL0FmM1MzLi4VCQyqFTWos1oZNc2m9mXO8BBp+Ph7i6A51ks\nnSDYJgxYluk4eNAF/fq1gF7PoXlzMzw82BgXFyA0lBWjzc5W2b1vSRBKnQ+Ki1nQv2QRzM3lIYrM\nYti2rREZGUq54O+dOxz0eq68EwEHV1eh3NrGAWD14ZRKVtsNYGIvJMSMTp24Ji1g7qXzBkEQTRuH\nhFuLFi1sXk+fPh3z58+vsh4bQdQXknXCaISVC27VKve77iF5L+uoykpSlesNAPbv16C0VGFVIDcw\n0IyePctw5YrKSuy1bm2yinG7cUMhiyfJNVlWBphMrLAtc19yshvTEimGTq9XwN2dvanT8QgLM6K4\nmMXeubkJeO+9PDz/vA9MJtggtWiSOh80a8bqshUUKMvds2ydarWIjAzWySAy0ogbN3icO6eCQsHu\nSxSB0lIeHTsakZ/P+qD6+5vBcUxASggCEBBg28e4OhqKRdZRqK4bQRBVcdf1PEpKSlBQUODMtRDE\nXSGJNcuCtaWlwO7droiNLa71F7ROx2P1ai1++EGNnBxWy6t//zJMm1ZU7VyOWEmqcr2tW3cHEyc2\nx507PASBg0LBBFmvXpycdGAp9rKzecTFeSIri0dBAWfVAUBCEDi5G4CU4cnWJ3UAsLbAGY0swUCt\nBv74QwVPTwFqtQhvbwGvveYFT08BOTm2Fh9vbwGZmQq580HLlqzzwcWLzEInWcvMZlbkt0cPE5Ys\nKcTIkT6yuxQATCYRpaXMUtmtmxHx8fnw9RWsrJiSlXLqVMf3tKFYZGvD/U6MIAii4eKQcPvoo4+s\nmsAbDAZcuHAB/fr1q7OFEYSj+Pub8cMPLrJok+B53FXB2thYL5w9q0JJCV/eZ1OB9HQFzp1TYtUq\n2y97yZpz9qwKd+7wcq9JgH3hurmxoP+sLAXc3QVwHCsDUtnyI1nGWLwXE29HjqiQnNwcPXoY0bq1\nSf7ijo/3AMcB/v6sj2Zl0SbNJ/3x8BBgNDKXa1ERE1gmEyuFISFZ08xm9uzCwyusOyUlHFQqVoOt\npKRCnXp6Cnj6aT2Sk13Acax0iU6nQECAubywrog2baytRMXFbK3Z2RVdGKT6cJKw5Dh2jytX5tm1\nUgYEeCM727E9TUpyQ0EBB51OgbIyDmo1y0a923ix+rDeUV03giCqwiHhFhAQYPXaxcUFjz76KLp1\n61YniyKI2jBhQgk2b64oPyEF8rdsaa51TFBSkhvS0pRyPTHJvVhWxiEtTWnzZW9pzdFomCgqKlIi\nLMwkl8s4f14Fs5mTrYIAKz9hWcZjypTmyMtTlLeFYtcuLgbOn1eV13HjcOuWAseOqVFSwiE9XVlu\nZWNuUXtI6xZFJoQ6dDBCoQAuX1YgP9/2ubDyJMxy5+pqLRAUClZOxM1NBMcJ5a2qWKHaadOKkZzs\nAlFk91hWxoSpRiPa9N+07Huq13MoKYFsUZLWrFKJNm7me4lnS0tT4tq1ioxdqX5ebYsZA/VrvaO6\nbgRB2MMh4da9e3e0a9fO5viVK1cQHh7u9EURRG3w8xMwfLgee/ZoYDRyclalQlH7mCDmdrUtYyEI\nrPRFZSFoGdfG80yQZWSw2LD+/fUoLuZx5owKPM/mlmqVZWYqEBxsRmkph7g4T7kHqGQ1lGLDAHbt\n27d5uSk8EzdAWRkPoQatwPqHciguZvXiOnY0ISDAbCESrWHtsESEhFQEsxkMkHuJlpVx8jEXFwHZ\n2TymTm0OrVZAXh4vr5+5TYXyzFlrd9+wYXrMnu0FHx8BOp2ivD4byhMYRLRty67trGD89HTmxrVs\ny2UycUhPr/3clO1JEMT9xqEibG+//bbd4/Hx8U5dDEHcLdOmFaFdOxPatjUhOJiJtruJCfL3N0Ol\nEq1crlJvTJVKtBGClePapKzHBx4wYt68IhQVMSuUVBqjuJhZ0nJzeRgMbN6cHB4uLqKclGApqCTR\naDZzyM5WyEV79XoOZrNtsoE9WCID60KwcmUe2rc3wc1NAM9bn8zzrE7ckCGlKCriceWKAtevMzex\nQsEsdm5uAkwmsbyECY/r15X44w8lbt5UIjjYVN60XoC7uwB3dxEBAQJEEfD3NyE62oCVK/Owe7cG\npaUctFoRnTsb4e4uyskLERGsiwPgvGD8wEATFIqKzguSRTYw0E6mRQ1QtidBEPebai1uUuFd1jSa\n/ZHIysqCorIfhCDuE86KCRo2TI9t29zkMhkAZFFhGWMGMLfZ1atMuFiW67AUHO7uQnnbKM6ifRNQ\nUsKyMMPCTPDxEWAyMauWSsVZuT4thZnUPcFeZmh1sExVDgYDG9imjRnt2pnw++8qGI1MpKrVQLNm\n7Ia/+84Vnp6C7KItLeUQGmqEUolywciB5zkYDMz16+oqwmzmceeOAiEhZhgMwKVLShQVKeRacunp\nPGJj78DPT7ASP25uIrp0McJoBG7eVMDVlR13ZjB+mzZmhIaaoNNVZBz7+ZltYu8cgbI9CYK431Qr\n3CwL7z733HNW7/E8j5EjR9bNqgjiLrjXmCCdjkd8vAdatDDDbAby8niYTKzH5+DB1lmlUqwTi+li\nZSyKijiEhprg4VEhOKSkHlZM1/p6BQU8MjJ4fPbZHcTHe8jiwmTi5fGVG7VXJdIs48QqI3VMMBg4\nDBniC19fVq6Dle3gYTQy16fRyMuJCcXFPBQKEeHhzPUrZZOyoricxTW58qQEURac6ekKlJZyViVI\nMjKUmDixOb75Jseu+FEogOHD9XB3F5wejC9laKrV5nvO0KRsT4Ig7jfVCrePP/4YoihiyZIlePPN\nN+XjHMfBw8MDarW6zhdIEPWFFL+k0aDcGsM6G0RHG2wEoeVYqX1VWRkrMmsZqF5UxKFdOxNOn7Zf\nvLagQAFfXwFxcQWIi/OEWi2iY0cjMjN5FBUpAIgoLeXstqsCmAXO1VUsL/dhW+LDEpOJQ06OAgUF\nPFQqEW5ugiy2OA5ybJ/kKjabWaurli3NuHlTUV4MmBXyBViWqST4tFqh3GXIlzeir1iDJN7u3GHZ\nmFWJn5rKrdwtzszQpGxPgiDuN9UKN6nwbmJiInieh1JZMdxkMsFoNEKlsv+FRBCNjdrEL1mOldpX\nAUDbtiarL3HJuqRSQQ7CB5iYkYrtrl6txeXLSnAc4OXFXIl5eTyUyoouCSUlnF2LGscxd6NSyeLY\nSkvZoqoSegATaFISgbd3heBi4RCc7E7kOOYqVSiARx4x4NAhFxQUMLeqKArQ63k5Li8vj4erq4jg\nYDMyMhSy5c5ynayjg+K+iB9nZmhStidBEPcTh5IT4uPjce3aNatj165do+QEoknh72+2EUdVxS/Z\nG2swsLi1uXM9kZCghU7HY8KEEri6ivDwsB4stZsCgK++0uD2bQ6pqQqcPauS21cZDEBhIfuIVk4k\nsJxHqRTRsaMJGg2LQ2U9SKsPfJM6JpjNLIZNoQB4nlnAWNN3y9IcIlJTWc0yjYbNy5rCi1AoRKjV\nrJcowCx0Hh6C1f1J12vWTJCfpSR+EhLy5a4SBEEQRM04JNzS0tJsyoGEh4cjLS2tThZFEPcDSWRJ\ngqO6+KXKYw0G4I8/lDAagdRUJVJSXDB7thcA5jodPlwPV1cBHMeEkGRxUyiYOPv9dxVycniYzcwa\nZjIxUSX1H7VXYBdggig3l8fkyYUoKKho6C6VHSkfZfc8QQDy89m1XFwgZ9IqlSzr0t1dwBNP6NGl\niwlmc4Vb2NNTkF20XbsaodWyrFDJQhcYaIZWyx4MaxjP5goNNVEsGEEQxD3iUB03d3d35Ofnw8vL\nSz6Wn58PF8sGggTRyKmNC6/y2CtXlGjTxlRuebKt77VkSQHGjCnBlCnNodMpYDazVlQKBWs/xYL+\nRav6YCyLm4MgSMLLWrwxoSWieXMB69c3g6eniOxs68LBVcFKYkj9QVlTeI2G9RzValnx4s8+y4Wf\nn4C5cz1t3MIcJ9VyY27V0lL2vlrNCvO2a8dKbUhxc9HRhrtqP3YvNLb+pARBEI7gkHCLiorCP/7x\nD0yaNAn+/v7IyspCUlISoqOj63p9BFGv1CZ+yXLs3LmeSE21/jhVjo+LiDDhq69y8MIL3rh9m4dK\nxVyu168rUVZWUZfNslWVIDALGMB6iUpiTGrMzorJsvIbUscBoGKcZUydJUqlCE9PllVqMLD2V97e\nQnkdOya0JJFjLwvUz8+MnJyKRvBFRewCAQHMhezpKd7XXqCNsT8pQRCEIzgk3J577jn85z//wYIF\nC2A0GqFWqzFw4ECrciEE8WfGnriRYt5iYz1x65YSQUFmtG5tQp8+ZXI3BYCJKOZCZQkGPM+avZtM\nrPG6Ugm5m4KUdCD97eLCOiiIIusB6uLCrGYmE2ch2jjwvAg3NxGuriJyc3kYjRxycxXQaERwHAeT\nSZRFW2X3sL0sUA8PEcuX38Hu3RrodAr06FEGjmMdGhpCpiV1OCAIoqnikHBTq9WYMmUKXnrpJRQW\nFqJZs2bgOE4u0EsQTZ3Kbrdhw/TYvVtj9frYMTXS0pQwGplQKi3l0KqVCd99p4HJxOH0aRW0WhEa\njYCWLdlnx2hkgksQOLi6iuUtqgCNRkBwsBllZUBeHisc6+rK+oWaTJI1jitv8SUgNNSMCxdYjJ2l\nm5QV12VuWY1GRHY2L8e/CQLLVnVzY2JRatNVWXRV50KOiGiYIog6HBAE0VRxSLhJSPXbrl+/ju+/\n/x4//fQT1q5dW1drI4gGQWW32++/K5GU5C7HtF27psSxY+ryWmoAIKK4mFm8cnIUMJs5GAzsdWEh\nYDAw8fDEEwYcC0E5VgAAIABJREFUOaKGh4eI0FAjcnJ4lJVxUKlEPPGEHtOmFWH2bC9otaxw7PXr\nCri5iWjTxozLlyWRJsLdnVnTOnUy4coVRXkzdRYfp1Cw8h0cx+qoWSctMAwGDpGRZWjf3lSlNaqx\nlcCgDgcEQTRVHBZuBQUF+Omnn/D9998jNTUVHTt2xMSJE+twaQRRNbUNPJfG5+cr4OmpdXh8Vpai\nvGUVc0uy9xRyw/mQENZl4dw5NQRBRPPmIlq1MiMtTYnCQg63b1dYt6S6bTzPsi/d3QW0b2/C8eNq\nZGQooFazpICcHB4HD7rA3Z0V5pXckYWFHFq2FKFSAc2bCygo4OVCuQCzqI0bV4rTp1U4e1YFs1mU\ns0VFEeWCzjZpQRCAjAwFIiON97YpNVCfyQLU4YAgiKZKtcLNZDLhxIkTOHToEE6fPo2AgAD07dsX\nt2/fxpw5c+Dp6Vlf6yQImdoGnluO12g46PUuDo/neeCPP5hQCw83QaVioovnmZvTaGRxbJJFraCA\nQ34+60tqMlWINulvKZNTrQZSUxX45RcV8vJ48DxzW2ZmKuDiIsLLS0BKivU6ExK0SElh6lFKCDCb\nOajVolX3AQCIjfXCuXOq8mxVqSyHffEmiqzDw2+/KaHT8VZtvZwltOo7WYA6HBAE0VSpVri9/PLL\n4HkeAwYMwJgxYxAaGgoASE5OrpfFEQ2b+1VuobaB5/c6Xq1m4zMzFQgONkOtFlFSwlo+ZWZWuCal\nTFCDgXU5kDJELVGpmIjy8zPj1i0lvL0F5OXx5fFqTNyZTEyYWa5zwoQSFBVxSEtTQKEAWrZkjdNz\nc3n06GFE69Ymq+e/alUeVq/WIiVFLZfjyM7m8c03rrKYk3BzExEWZoIgVDwTZwut+5Es0NjcuwRB\nEI5QrXBr3bo1Ll68iCtXrqBly5bw8/ODVqutr7URDZj7WW6htoHn9zpesm4ZDEyF+fmZ5ezJ9HT2\nEVKpRBiNHEpKUF7Wg8WXSXXazGY2xsuLdQ/w9GT11zIzFXKv05wcHkqlCK1WkN2yPM8sc9KzDgw0\nIytLgZs3FRg+XF9lf08/PwFLlhRYHdPpeNy4ocClSyqUlHAAOLi6CujYkVkS2Rj2TJwttNLSlEhP\nV6CsjFkIAwJYBislCxAEQdSOaoXbkiVLcPv2bXz//ffYtWsXNmzYgG7dusFgMMBcXTNEoslzP8st\n1Dbw/F7Hu7gAoaFM3LBepGYsX56P3bs1OHCAw+3bPEpKOKjVkEtxsPPE8hpsIsxmwNNTwIABBtlt\nl5Tkhlu3FFZFbfPyeLmIr7TOW7eUcqcFaawgAO7uQq1Esp+fgHXrmPtw/34N8vJ4tGxplkWb5TNx\nZlamTsfj1KkKl3BpKYeiIg6hoSZKFiAIgqglNSYntGjRAqNGjcKoUaNw8eJFfP/99+A4DvPmzcOg\nQYPwwgsv1Mc6iQbG/Sy3UNvAc8vxgOPjCwpYAoLBwMHNTcC6dXcQEWGSx0VEFGHChBKMGOGD4mIm\nStRqVovNbOZgMrHiuaweG7O4WcZaVb4PS0uewcCesST4VCoRd+4o5Abw/v7mu3rWkvtwwoQSTJvm\nhevXlfKcISEVLamcmZWZlORm5RJmRYM55OTwlCxAEARRSxzqVSrRsWNHTJ06FZ988gkmTZqE69ev\n19W6iAZObRqyOxsp8Dw62oC2bU2IjjZU66L182PZmaIIZGSw2LO4uAL4+QnQ6XgkJGgRG+uJkSN9\nMH26F5KS3PDqq4XIyeFhMLA6aN7eAuLjPaDT8TZz9+hhhJeXAI2GdSPw9RXg5sasbSqVAJOJPZvs\nbAW2bnVDbKyXnARgeR/9+xuwZUsOevYsQ0YGE2WtWpmRl8fj4kVmsdLreRQU8Lh6VQk3t4r1Wza2\nd5SK+Duu0uva9W2tiawshdzn1MNDgEYjwNNTQGRkGSULEARB1BJOFKvraNi4uXXrltPm8vX1RXZ2\nttPma+xUjnGTvtjvV0uh6hIlrLNKVdDrjXB1FREXV4D4eA/k53O4dk0Js5mDUikiNNSEnBwePj4V\nsWYAu8du3YxwdxesrpOU5IaUFBfZOmU0ApcvK6HVMhepTqcAx7EkAIAlJ4wZU2oTgyYhZY9KmasX\nLihRXMxDobCe48knS5GerryrPbC8huX9RUcbZFe39EzvNSuz8rWMRlZ+xMtLwKOP2hb8dQT6PDYN\naB+bBrSPziEwMNChcbUqwEsQEg2p3EJNiRJVxePFxXmC45iwEgROLpfB3KOA2cyySCXMZmDXLg1a\ntzZbXScursDK5alQAJ07GxERYcS2bW5QKlntNYNByjTl8MMP6irvR3JDW5YakcqIGAyAj4+AoCAz\nTp9Ww91dtBtnKAnKqjJ+HXF1Oysr09IlbDYzUQsA/v6iTckTgiAIonpq5SolCEukL/aEhHzMm2c/\nu7E+qC5RAqhapGRn87JAktyEHIfyzEfIWaQSGRmsFEfl6+zerbFyeXbrxkRbcTHLElUqAb2e1VwT\nBFbf7eZNRZVuTckNnZnJsjAFQepNyuZi2aoVxXwr35eUhZqS4oLUVCVSUlwwe7aX1fXq09Vt6RLW\n6zlotaz8iIuL7V4RBEEQ1UMWN6LRU5P1qKpAe19fAYLAAvNLSys6DKjVIlq0MCM3l5c7HkjiKTDQ\nbPc6koitbP1TKCAnRUidEzgO0GpFrF6ttXG7WiYtlJRUtMpia+NgMLBCva6uIrp2LcPZs2qb+7LM\nQpWuWznjt747C0jPJytLgdRU6/92qIcoQRCE45DFjahT7iV43tE5arIeVRVoHx+fD1dXlunJ82J5\nZwNRrrO2bt0dqwSIJ58slUtn2LsOYGv9Cw5mc7MCvSKUShFubgICAgTs2qWxaxWTLFQaDTtHpWK9\nSFUq9lqjYXFssbHFdu8rKMjskBu0NgkezuJ+JrUQBEE0BcjiRtQZzijS68gcNVmPLOPxCgqU8PAw\nyNYt6Xjr1ibcuqVEUJAZPj5mcByH9evd4e9vxrx5hXIG6uzZKpvrDBumR0KCFllZCpw9q4JGUxF3\nplKx6+fn89BqRbn4bFVuV8kq5ucnICqqDN995yK3qWIWPBFRURXZmPbiDKX6cDWV8rgfnQWohyhB\nEMS9QcKNqDOcUaTXkTkcSZSQRIqvrwbZ2UU2xyVqEoqVrzNsmB7x8R7y+Dt3eBQVcWjXrqIbQUCA\nuVywCQ65XSVatzYhNFQBna6i44CfnxmtW1fUkrMnvhqyOGpISS0EQRCNERJuRJ3hjCK9js7hLOtR\nTUKx8nUSErRW41l7LCUyMhRyhwNPTxHvvXcHu3drZLHStSuHs2etM0srW8UmTCjBsWNqua+oKAIa\nTc0CrKGLI+ohShAEcffUi3BbvXo1Tp06BU9PT6xYsQIAkJKSgq1btyI9PR3vvPMOwsLC7J4bGxsL\njUYDnuehUCiwbNmy+lgy4QScUX3fmRX8HeFe+5q6uLBCswYDJ7fHkkRTRERly56t27WyKKuosihW\nel09JI4IgiCaJvUi3AYOHIjHHnsMq1atko8FBwdj7ty5+OSTT2o8f/HixfDw8KjLJRJ1gDNcdtXN\nUV3R3bvFGX1QVSqgf399tcLJEatYUpIbBIFDSEjFtQWhfvrBEgRBEA2TehFuERER0Ol0VsdatWpV\nH5cm7iPOcNlVNUd2No8pU5qjpISHiwuL/apN4kNVou9e+qDWVpzWZBW7n/1gCYIgiIZJo4hxi4+P\nBwA8+uijGDJkSJXjDhw4gAMHDgAAli1bBl9fX6etQalUOnW+Pwu+vsDy5dIrFQDNPc+RmanBM88o\ncecOV14wFyguVqBdOxFbt/pi8eKqhZtSqYTJ5IvXX1eitJQJoZs3gfPntfjXv0yIiACSkoC1a3lk\nZnIICBAxdaqAgADvKtdWm/G1oW1bHjdv8jbWvzZtFH/6n0X6PDYNaB+bBrSP9UuDF25Lly6Ft7c3\n8vPz8fbbbyMwMBARERF2xw4ZMsRK2Dmzdxr1Yms4rFypRVGRGwBejvkymYBbtwSkphqQnZ1f5bm+\nvr5YuVKP/HzrPp35+cDKlaxPp1IJxMZan1fd1td2vKOMHs3jyBHbfrCjR+chO7thJBrcL+jz2DSg\nfWwa0D46hybTq9Tbm1kuPD098eCDD+LKlStVCjeiYXK3sWhVnZeVpYBaDej11q2qDAbOoaSF+nBB\nOiP+rqFnhxIEQRD1T4MWbnq9HqIowtXVFXq9HmfOnMGoUaPu97KIWnC3RXirO8/f3ww/PzOKiljv\nT45j1ig3N8Gh2LK6zlR1RuFhCcoOJQiCICxRLFmyZEldXyQxMRFffvklcnJycODAAbi5ueH27dtY\nunQpbt26hWPHjuHs2bPo378/cnNzkZiYiH79+iEnJwfx8fHYv38/Dhw4gKioKAwaNMjh6xYWFjrt\nHtzc3FBScv8LmDY2Vq92xx9/VIgkjgOMRg45OTz69i27q/MmTCjBoUMauLmJMJk4cJwIrVZAv34G\nHD7sgtOnVWjXzgR3d9vaGW5ubggKKsDBgxoYjRWiz9VVxOuvF9o9p77umXAc+jw2DWgfmwa0j86h\nWbNmDo2rF4vbrFmz7B5/6KGHbI55e3tj/vz5AAB/f38kJCTU6doI52PpJjxzRgUXFxEuLhXvO+KW\nrM6dWdmF6O4u4rfflLh6VeWQhauuXZB364qti/ImBEEQRNOiQbtKicZHZTdhXh5rARUWZpLFmyNu\nyZrcmZYuxIQELQTBsdZamZksuUESR1IfUmdyN65YZ7pXCYIgiKYLX/MQgnCcyi2jWrZkYiUri1mb\nHK1zNmFCCVxdRQjlmqW68xy1cOl0PF5+WYmUFBekprK/Z8/2gk7n3I9Bbdau0/FISNBi/HhvXL6s\nhNFYsX5JfBIEQRCEBFncCKdSWUSpVEC7dibo9bYtoKqjNu5MRy1cTFTinpreO4Kja7e0sul0CpSW\nclbWSSq2SxAEQVSGhBvhVPz9zbh4UQmdTgGjkQk3Pz8zhgypvgWUPRzNqHS0e0F9diJwZO2W1km1\nWkRpKcuSzcqqaFBfVz1ZCYIgiMYJuUoJpzJsmB6pqUrk5/PQ63nk5/NITVVi2DD9Pc17/rwSI0f6\noF+/Fhg50gfnz1f8ziFZuKKjDWjb1oToaIPd2DB/f7PsvpS4n+LIUkgGBJihULCMVqPx7vq6EgRB\nEE0fsrgRTmX3bg3atjVBp1OgrIyDWs36iO7erUFExN25I8+fV2LMGB8YjZxsIRszxgdbtuQgIsIE\nwDEL14QJJTh/Xov8fNx103sJZ2SAWrp4VSogPNyEjAwFvLwEREcbKKuUIAiCsIGEG+FU0tKUVqIt\nIMAMlap27sjKoujQIRdZtAFMdBmNHOLiPLFjR45Dc0gi6F//MmHlSoPDZUDszXOvDe4lKrt4FQoW\nD0iZpARBEERVkHAjnIZOx+PUKRXy8ng58L+oiENoqMlhd6S9shi//66yG5uWk2Pf019daY2ICDgc\na2dvnmPH1EhLUyA/n7k59fqKe6xtkgO1tCIIgiBqCwk3wmkkJbnB21tAXh4vt6IqK+Nw9aoSrVub\nkZCgrVGYVC4nIlmiDAbA1bVinCAAPj7257E3h5Q9unx57e6n8jxpaUrcucNBWf7J4TjAbGZZoXeT\n5EAtrQiCIIjaQMkJhNPIylJAowHCwkzw8BCgUgkwmwGlEsjMVDhUN81e5mdYmEluTQWwv1UqEfHx\n+Q7PcTfZo/bmMRo5ABxEi85YtWlwTxAEQRD3Agk3wmm4uwu4fl2BmzeZQFKp2B9XV6ZyHCkqay/z\nU6MRMXp0CSIijGjRwoyICKNVYoIjc9xN9qi9eVQqEc2aCeB5URZvtWlwTxAEQRD3ArlKCaeg0/E4\nf16FoiJWi6y0FNDrmWgLCKgQTDVZvqqqyTZ3bpHDsV/V13XTOHxP9uZp3doEUWSxbSwJA3BzE7Fu\n3R2KTSMIgiDqHBJuhFNISnKD2cyhXTsTMjNZVinARI1KVTGuJsuXMwL27TWhF0UR773XDG3b8hg9\nmndovqrWIt0vJRQQBEEQ9Q0nipbROk2LW7duOW0uX19fZGdnO22+psbcuZ5ITbX+PcBgADIyWBcA\nS8uXM8td1FRPrXJmqFKpgkJRRiU3Gjn0eWwa0D42DWgfnUNgYKBD48jiRjgFe/1CVSpg2LBSaLVi\nnVinqiv7IV2jugxTyuYkCIIgGhsk3AinUFVcWWxscZ1ZthwRZfXZn5QgCIIg6hrKKiWcgqP9Qp2J\nI6KsofUnJQiCIIh7gSxuhNOwLCbrjF6eNWHPPVtZlFWfYUoQBEEQjQsSboTTcST2zBkMG6bHjh2u\nVj1DPTysRVnlzNA2bRQYPZoSEwiCIIjGCQk3wunUR0KATscjPt4D3t4CTCYOBgPrXbp8uW09NUtL\nIMt+ItFGEARBNE5IuBFOpz4SAiRxqNEAISHMNSoIwO7dGkREULYoQRAE0TSh5ATC6dRHQgBlixIE\nQRB/Rki4EU5nwoQSuLqKVk3hnZ0QQNmiBEEQxJ8REm6E06mP0iD1IQ4JgiAIoqFBMW5EnWCZEFBX\n899rT1OCIAiCaGyQcCMaLXUtDgmCIAiioUHCjXA6ziy+Wx+FfAmCIAiisUDCjXAqziy+W1+FfAmC\nIAiisUDJCQ0cnY5HQoIWc+d6IiFBC52uYW9ZdcV3K1PTvdVmLoIgCIL4M0AWtwZMY7Q4OVpfzZF7\na2i12shtSxAEQdxvGrb55k9OY7Q4OVpfzZF7a0i12iShmZLigtRUJVJSXDB7tleDt4ASBEEQTQv6\n1mnANDSLkyM4Wl/NkXtrSLXaGqOIJgiCIJoe5CptwPj7m3HtmtJK4DT07gCO1ldz5N7uV602ey7R\nxiiiCYIgiKYHCbcGzIQJJfj1V7Vs6Wks3QEcqa/m6L3Vd622qmLvwsONEAQ0KhFNEARBND1IuDVg\nmnJ3gIZ6b1W5RDmOg6ur2OhENEEQBNG0IOHWwGnK3QEa4r1V5RItLubqXWhSFitBEARRGRJuBGFB\ndbF39Sk0G2MpGIIgCKLuoaxSgrCgoWSyUhYrQRAEYQ+yuBGEBQ0l9o6yWAmCIAh71ItwW716NU6d\nOgVPT0+sWLECAJCSkoKtW7ciPT0d77zzDsLCwuye++uvv2LDhg0QBAGDBw/GiBEj6mPJNULxR02T\nhrKvjbEUDEEQBFH31IurdODAgViwYIHVseDgYMydOxedOnWq8jxBEPDvf/8bCxYswMqVK3H48GHc\nvHmzrpdbI1RFv2nSkPa1obhsCYIgiIZFvXwjRUREQKvVWh1r1aoVAgMDqz3vypUrCAgIgL+/P5RK\nJfr06YPjx4/X5VIdguKPmiYNaV8ll210tAFt25oQHW2gxASCIAiiYce45ebmwsfHR37t4+ODy5cv\nVzn+wIEDOHDgAABg2bJl8PX1ddpalEqlPF9+vgIaDWczpqBACV9fjdOuSTgfy32sTEPbV19fYPly\n6ZUKAP1sSVS3j0TjgfaxaUD7WL80aOEmiqLNMY6z/WKVGDJkCIYMGSK/zs7OdtpafH195fk8PbXQ\n611s4o88PAzIzm5YdckIayz3sTK0r42H6vaRaDzQPjYNaB+dQ01eSIkGHZTl4+ODnJwc+XVOTg6a\nN29+H1fEoPijpgntK0EQBNHQadDCLSwsDBkZGdDpdDCZTDhy5Ah69ep1v5dF8UdNFNpXgiAIoqHD\nifb8kU4mMTER58+fR2FhITw9PTFmzBhotVqsX78eBQUFcHd3R5s2bRAXF4fc3FysXbsW8+fPBwCc\nOnUKSUlJEAQBgwYNwjPPPOPwdW/duuW0eyBTcNOg8j42lPIfRO2gz2PTgPaxaUD76BwcdZXWi3C7\nX5BwIypjuY+V20pJrlGysjV86PPYNKB9bBrQPjqHJhHjRhB1SUMq/0EQBEEQjkDCjfjTQm2lCIIg\niMYGCTfiT4u/v1nOIJWgtlIEQRBEQ4aEG/Gnhcp/EARBEI2NBl2AlyDqEqn8R1KSG3Q6Bfz8KKuU\nIAiCaNiQcCP+1Pj5CZg3j7oiEARBEI0DcpUSBEE4gd9++w2dOnVCeHg4jh075tS5o6KikJiY6NQ5\nCYJonJBwIwiCqMSsWbMQFBSEoKAgBAcHo2fPnpgxYwYyMjLsjr906RJiYmIwZMgQjB49Gi+++CLO\nnDljM+6f//wnhg8fjoiICHTq1AkjRozAd999V+N69uzZg1deeeWe76syX375Jfr164e2bduif//+\n2L59e43npKWl4eWXX0a3bt0QHh6OoUOHYufOnTbjLly4gIkTJ6JTp04ICwvDkCFDcOLECbtzbtmy\nBUFBQRg7dqzV8aioKHkfLP8MGjRIHvP777/jlVdeQd++fdGqVSvMnTvX7jXMZjM+/vhj+X67deuG\nefPmWY3JysrC1KlT0aFDB3To0AGvvvqqTX2yf/zjHxg5ciQ6dOiAoKAgm3qhN27csLvmoKAgLFiw\nQB5X1Zjx48fbXf9PP/2E4OBg9O3b1+q4yWTC6tWr0a9fP4SGhqJv37749NNPrcbs27cP48ePR/fu\n3REWFoZBgwZh3bp1Vv3Ajx49ipdffhk9e/ZEWFgY+vbtixUrVsBgMFjNZW/NEydOlN9PT0/Ha6+9\nhr59+yIsLAw9e/bE7Nmzq/zsELWHXKUEQRB2iIqKwpo1a2A2m5GWloa4uDhMnToVX3/9tdW41NRU\nPPfccxg5ciTefPNNcBwHb29vjBs3Dtu2bUPHjh3lsYcPH8Zzzz2HBx54ABqNBps2bcKECRPw3//+\nFw8++GCVa/Hx8XH6/X377beYO3cuFi5ciEceeQQHDhzAzJkz4eXlhUceeaTK8yZOnAgfHx9s3LgR\nnp6e2L59O2JjYxEYGCjfw7lz5/DMM89g7NixmDNnDry8vPDHH3/Y7TV96dIlLFu2DL1797Z5b8+e\nPTCbK7K8S0pKMHjwYDz11FPysdLSUgQFBWHo0KH45JNPqlz37NmzcfLkScTFxaFz584oKirC9evX\n5fcFQcCECRPA8zy++OILiKKIBQsWYPLkydi5cyc4jgMAlJWVYejQoRgyZAjeeecdm+sEBgbil19+\nsTp27NgxTJ06FU8//bR8rPKYGzdu4KmnnrIaI3H79m3MmjUL/fv3R2pqqtV777//Pj7//HO89957\niIiIwMmTJ/Haa69BpVLh+eefBwAcOXIEPXr0wIwZM+Dn54eUlBTExcXBYDAgNjYWAHD8+HG0bt0a\nL730EgIDA3H27Fm88cYbuH37NpYtW2Z1zfj4eDzxxBPy66CgIBiNRgDA1atXUVpaijfffBPh4eHQ\n6XRYvHgxXnjhBSQnJ0OhoHJL9wp1TnAQqgzdNKB9bBrU9T7OmjULGRkZ+PLLL+Vj69evx8KFC3Hx\n4kU0a9YMALMuPPPMM4iJicGsWbOs5li/fj1WrVqFrVu3IjQ0tMprDR48GP3798fixYurHBMVFWV1\njX379mHFihW4evUq1Go1QkNDsXz5cnTp0sXhe3zqqacQHByMVatWycdeeeUV5ObmYtu2bXbPyc/P\nR0REBDZs2IChQ4fKxzt37ozZs2djypQpAIBnn30W/v7+WL16dbVrcHNzQ+/evTFjxgwcOnTI5plX\n5vPPP8eCBQtw9OhRBAQE2Lw/atQotGnTBu+//77V8cOHDyMmJgb79+9Hhw4d7M79/fffY9y4cfj+\n++8RHh4OgFnzHnnkEWzduhV9+vSxGn/kyBGMHj0ax48fr7Hi/fTp03Hu3LlqravLli3DZ599hpMn\nT0Kj0cjHBUFATEwM+vXrB4PBgO3bt+Pw4cPy+z179sSkSZMwffp0+diiRYuwb98+HD16tMrr/f3v\nf8eJEyfw7bffVjlmzZo1+Oijj3Du3Dn5WFBQED788EM8++yz8rGaPo9nzpzB448/jgMHDqBTp05V\njvuzQ50TCIIgnERmZiZ2794NhUJhZTEICgrC0aNHbUQbAEyePBknT56sVrQJgoCioiJ4e3s7vBad\nToepU6fKbtavv/4aU6ZMsVpXVFSU3TVJlJWV4fTp0xg4cKDV8UGDBuHUqVNWVi5LPD090bFjR+zY\nsQMFBQUQBAE7d+6EXq/Hww8/DADIzc3Fzz//jA4dOmD8+PHo2rUrHnvsMWzcuNFmvpkzZyIyMhIj\nRoxw6N43btyIRx991K5oq449e/YgJCQEP/74I/r27YtevXph6tSpSE9Pl8ccP34cISEhsmgDgA4d\nOqBly5b3FLOYm5uLPXv24IUXXqhyjNFoxJdffonRo0dbiTaA9frmOA7Tpk2ze67BYICLi4vVMY1G\ng5s3b+LmzZtVXrOgoKDGn7vCwkK7Y9555x107twZQ4YMwXvvvYeSkupLKBUUFABArX7OiaohVylB\nEIQdUlJS0K5dOwiCAL1eDwCYOnUq3Nyc1xLtww8/REFBgZX1oiZ0Oh2MRiOGDx+O4OBgAEC7du2s\nxrRu3Rr+/v5VzpGbmwuTyQQ/Pz+r4y1atIDBYEBeXl6V7tkvvvgCf/3rX9GpUycolUq4urrik08+\nkV3Ckivvww8/xNy5c/H666/jxIkTWLRoETiOk913W7duxdGjR/HNN984dN+nT5/GmTNn8Prrrzs0\n3pK0tDTcunUL27dvR0JCAlQqFZYvX44xY8bg4MGD0Gg00Ol0aNGihc25fn5+0Ol0tb6mxJYtW8Bx\nXLV7vG/fPuh0Ohtxd/jwYXz22WfYt28f+MptXsoZNGgQ1q9fj4cffhgdO3bEL7/8gs2bNwNgv3C0\natXK5pwjR45g586d+Ne//lXlmi5fvox169bhjTfesDo+d+5c9O3bF1qtFmfOnMHy5ctx8uRJbN68\nWXYnW1JcXIw333wTTzzxRLU/k4TjkHAjCIKwQ2RkJBITE2EwGLBr1y788MMPNsHs98Knn36Kjz76\nCBs2bHDYRQIAnTp1wsCBA/HII4+gf//+iI6OxuOPP46goCB5zJYtW+5pbfa+gAFAFEXExcVBoVBg\n27ZtaNYzYMF6AAAgAElEQVSsGfbu3Ytp06Zh69at6Natm2ytGzJkCF599VUAQJcuXXD58mVs2LAB\nzz//PK5cuYIlS5Zg//79DgvhjRs3IiQkBAMGDKj1/ZjNZhgMBiQmJqJ9+/YAmBswMjIS//vf/6zi\ntexR1fOoCVEUsXHjRgwfPhxeXl5Vjtu4cSOio6OtrH25ubmYMWMGVqxYYSOwLXnrrbfwxhtvYOjQ\noeA4Dv7+/oiJicHHH39sN57s5MmTeOmllzBnzhwrd7cl165dQ0xMDJ5++mlMmjTJ6r3Zs2fL/46I\niECrVq0wduxYnDhxwiZOs6SkBBMnToRSqcSKFSuqvAeidpCrlCAIwg4ajQZt27ZFx44dMW/ePLRq\n1QpxcXFOmXvNmjV4++23sWHDBvTv379W5yoUCmzcuBFbtmzBAw88gD179qB///7Yv3+/w3N4e3tD\nqVTaWJKys7Ph4uICT09Pu+cdPnwYe/bswapVqxAdHY0uXbpg3rx5eOCBB2TrjeTGlASSRPv27WXX\n3cmTJ5GXl4fevXsjJCQEISEh2LZtGw4fPoyQkBAcP37c6tzCwkJ89dVXeP755+9KRPn7+4PjOCth\n5OvrC29vb3lNfn5+uH37ts25t2/ftmuJc4SffvoJf/zxR5WZogDwxx9/4KeffrIZc/HiRWRmZmLi\nxInyM1q5ciVSU1MREhKCHTt2AACaN2+OtWvX4urVq/j5559x9OhRtGzZEgAQEhJiNeeRI0cQExOD\nV199FTNnzrS7nosXL+LZZ5/F4MGDsXz58hrvsVevXgBg45YtKCjAuHHjUFpais2bN8PDw6PGuQjH\nIOFGEAThAH/729+wdetWnD59+p7mSUhIwAcffIDPPvus1qJNguM4REZGYsaMGdi+fTt69+5dKyub\nWq3GAw88gO+//97q+HfffYcePXpUmfknxTJVfl+hUMilJVq1aoXAwEBcvXrVaszVq1dlt91jjz2G\ngwcP4vjx40hOTkZycjKGDh2KyMhIJCcn2yRZ/Pe//4XRaLQpF+IoUVFREEUR165dk4/l5uYiNzdX\ndjc/+OCDuH79utWYy5cv49atW3jooYfu6robN25Ep06d0LNnzyrHfP7552jevDkef/xxq+Pdu3fH\nwYMH5eeTnJyM8ePHIzAwEMnJyRg8eLDVeLVajcDAQPA8j507d6J3795W7u4DBw5g/PjxmDNnDmbM\nmGF3Lb/++iueffZZDB8+HMuWLXNIJP/2228ArAPrc3NzMXr0aADMtV7VLwLE3UGuUoIgCAcIDw/H\nkCFD8O6778oxRLVl0aJF+Pzzz7Fq1SqEhYXJFi+NRuOwReL48eP46aefMGDAAPj7++PatWu4cOEC\nnnvuOXnMmDFjEBkZifnz51c5z7Rp0/DKK6+ge/fuGDhwIA4ePIi9e/da1QDbu3cv3n33XXz55Zdo\n2bIlevXqBR8fH8yaNQuvvfYatFot9u7dix9//BFr1qwBwETl9OnTsXDhQkRFRWHAgAE4fvw4Pv/8\nc7l8hqenJzw9Pa2yET08PFBcXGxVPkVi48aN+Mtf/mLX8lVWVoZLly4BYPFUeXl5+O2336BWq2Wr\n34gRI+SYu7feegtKpRLvvPMO2rRpI9eE69evH7p27YoZM2Zg6dKlslu4R48eiI6Olq+Xnp6OO3fu\nyLF8ly9fRm5uLoKCgqzKnWRnZ2Pfvn1YsmRJlXtQVlaGLVu2YOzYsVCr1Vbvubm52TwLX19fqNVq\nq+O//vorbty4ga5duyI7Oxtr167FuXPnZIscAOzatQv/93//h9jYWDzzzDPyz51CoZDF3c8//4wJ\nEyZg2LBhmD59upX1UXLVJicnIzMzE7169YJWq8Vvv/2GpUuX4sEHH5TdpFlZWRg7diw0Gg0SExNR\nWlqK0tJSAICXl5fNfRK1h4QbQRCEg0ybNg0jRozAjz/+iH79+tX6/H//+98AgJdeesnq+OjRox3u\njODh4YFTp04hKSkJ+fn5aNGiBUaOHGmVRZqWllZj3Nxjjz2GhIQEfPTRR3j77bcRHByMlStXWtVw\nKygowNWrV2EymQAwF+umTZuwfPlyjBs3Dnq9Hq1bt8aKFSvw5JNPyudNmDABZrMZa9euxZtvvok2\nbdpg6dKld2UxO3nyJC5cuFBluZSsrCz85S9/kV+fOXMGe/fuRatWreRyGK6urti8eTMWL16MUaNG\nwcXFBdHR0di8ebOcxcnzPJKSkrBw4UKMHTsWHMdh0KBBePvtt60sTwkJCdi6dav8ety4cQCADz74\nwOr+Nm/eDJVKVW1Swt69e5GbmysnbNwNZWVlWLlyJdLS0qBSqRAVFYWdO3dald1ISkqC0WhEYmKi\n1c+Z5TPavHkzioqK8OWXX9qUZJGyb9VqNb744gvEx8fDZDIhMDAQTz31FBYtWiTXcTt06BAuX74M\nADbFgu2VVSFqD9VxcxCq/9U0oH1sGtA+Ng1oH5sGtI/Ogeq4EQRBEARBNDFIuBEEQRAEQTQSSLgR\nBEEQBEE0Eki4EQRBEARBNBJIuBEEQTQBVqxYYZPFRxBE04OEG0EQRCVmzZqFoKAgBAUFITg4GD17\n9sSMGTOQkZFhd9zLL79sM8e3336LoKAgm+r1ycnJGDFiBDp37ozw8HD07dsX06dPR2FhIQDgxo0b\n8rUr/5Fqpdnjr3/9K3bt2uWEu7fm6tWrGDduHMLCwtClSxe8/vrrNTYVB4CDBw/i0UcfRdu2bREV\nFYW1a9davb9v3z489dRT6N69O8LCwjBo0CCsW7cOloUO0tPTERMTgx49eqBt27bo0aMHZsyYYVMx\noKioCPPmzZOf6QsvvCDXWZMYNWqUzfO0Vxj35s2bmD59Orp06YLQ0FA8/PDD+Pbbb63G5Obm4o03\n3pDX1bt3b/znP/+R3z906BCGDx8uz9GnTx8sX74cZWVlVvOYzWZ8/PHH6NevH9q2bYtu3bpZtVU7\nevQoXn75ZfTs2RNhYWHo27cvVqxYAYPBII8pLS3Fiy++iAcffBChoaF44IEHMHnyZLm2nURUVJTN\n/Y8YMcJqzFtvvYX+/fujXbt26NixI5566ikcOHDA5hlJbNmyBUFBQXjsscesjm/btg2PPfYYIiIi\nEBYWhgEDBmDNmjWoXMTi008/xcCBAxEWFobIyEjMnDnTqn5cVlYWpk+fjkGDBiEkJMRuORlHnlFT\ng+q4EQRB2CEqKgpr1qyB2WxGWloa4uLiMHXqVHz99ddW44KCgrB//36b1kiff/45WrVqZSX2fvrp\nJ0yZMgWzZs3Ce++9B7VajdTUVHz77bc2X+obNmxA9+7drY41a9asyvW6u7vD3d39Xm7ZhuLiYowd\nOxadOnXCzp07kZeXh7/97W8oKCjAP//5zyrPO336NCZPnoypU6di9erVOHXqFObPnw9XV1e8+OKL\nAFj7pd69e+PVV1+Fn58fUlJSEBcXB4PBgNjYWACAUqnEE088gfnz58PHxwfp6el46623MHHiRCQn\nJ8vXmzFjBi5cuIBPPvkEnp6eePfddxETE4P//e9/cHV1lceNHDkSixYtkl9X7gCRkZGB4cOHo0+f\nPkhKSoKfnx9u3rxp9VyLi4vxzDPPICAgAKtWrUKrVq2QlZUl17oDAK1WiylTpqBDhw5yodrXXnsN\nJSUlePPNN+Vxs2fPxsmTJxEXF4fOnTujqKgI169fl98/fvw4WrdujZdeegmBgYE4e/Ys3njjDdy+\nfRvLli0DwAoe9+/fHzNnzoS/vz9ycnKwYsUKjB07FikpKXKdOgCIjY3FlClT5Ncqlcrq/jt06IBB\ngwYhODgYJpMJW7ZsweTJk/HNN9+gW7duVmMvXbqEZcuWoXfv3jb77+vri1mzZiEsLAxqtRpHjx7F\nggULoFQq5evv2rULixcvxrvvvot+/fohIyMDb7zxBmbOnIlNmzYBYDXqvLy88Morr+Cbb76xesa1\neUZNDarj5iBUp6ZpQPvYNKjrfZw1axYyMjKsCpGuX78eCxcuxMWLF2UBJY0zGo0YPHiwLDjS09PR\np08fzJw5E4mJifKX8aJFi3D8+HHs3bu3ymvfuHEDvXv3xo4dO2rVamnFihXYvn07Dh8+DID9/7d4\n8WKkpKSgtLQUfn5+ePHFF+XG746wceNGLF68GL/88ovc2eHAgQOYMGECUlJSbKyJErGxsbhx44aV\nyF26dCl2796Nn3/+WT5WeR///ve/48SJEzYWLkv27duHyZMn48KFC/Dw8MDVq1fRv39/bNq0SW5A\nn5eXh8jISCxbtky20owaNQpt2rTB+++/X+XcM2fOxLVr16q1XL7//vvYunUrfvjhB7i4uFQ5rjLS\nXkiC8/Dhw4iJicH+/fvRoUMHh+dZs2YNPvroI5w7d67KMefOncPQoUORnJyMzp07A2C/iMTExFgV\nanaEiIgIzJkzx0rwlZaWYtiwYZgxYwYOHTqE7OxsbNy4sdp5pKLTUhHqRYsW4dixY1Z7vX79erz/\n/vs4f/68zfn2PpNV4cgzaohQHTeCIAgnkZmZid27d0OhUNjt4/n8889j06ZNsito06ZNePjhhxEU\nFGQ1zt/fH6mpqfjll1/qfM0LFixAQUEBNm/ejEOHDuH999+Xm48DTOhVXl9ljh8/jh49eli14xow\nYAB4nrdpBF/5PKmVlMTAgQNx48aNan+hLigogLe3d5Xv5+bmYtu2bejatau8phMnTkClUuHhhx+W\nx3l5eaF79+42a9y7dy+6du2Khx9+GLNmzZI7AgCAIAjYt28fevbsiWnTpqFbt24YPHgwPvroIytL\nz549e/DQQw9hyZIliIyMRP/+/bF06VK5rZM9rly5gu+++86qa8CePXsQEhKCH3/8EX379kWvXr0w\ndepUqzXZo7CwsNpnVFRUhC+++AIBAQEIDQ21eu/TTz9F586dMWjQICxcuBC5ublVzmMymbBt2zYU\nFxcjKirK6r0FCxYgMjLSxtVqD1EU8csvv+D48eNW9//QQw/h8uXLOHLkCERRhE6nw+7du216sN4N\nNT2jxg65SgmCIOyQkpKCdu3aQRAE6PV6AMDUqVPh5uZmM3bYsGFYtGiR7P7bvHkzli5dKsetSUye\nPBnHjx/Hk08+CT8/P0RGRqJPnz545plnbL5oYmJiwPPWv1t/8cUX6NWrl0Prv3nzJh5//HG5YbvU\nTF3C29sbYWFh1c6h0+nkPpUSKpUKXl5ecr/Lqs6r3FdUmken09m1LBw5cgQ7d+7Ev/71L5v3pk2b\nhn379kGv16Nnz574/PPP5feysrLg7e1tI6hbtGiBrKws+fWIESMwffp0BAQE4Pr160hMTMTjjz+O\nAwcOwM/PDzk5OSgsLMR//vMfTJ48GZs2bcKlS5ewcOFCFBcX44033gDA2omlpqZi+PDh+PTTT5GV\nlYW4uDhkZWXh448/tlpDz549kZubi7KyMjz//PNYuHCh/F5aWhpu3bqF7du3IyEhASqVCsuXL8eY\nMWNw8OBBKxenxOXLl7Fu3Tp5LZbEx8fj008/RUlJCcLDw7Ft2zYrN/HkyZPRpUsX+Pj44NKlS3jv\nvfdw6NAhJCcnW43bv38/pk2bBr1ej2bNmmHdunXo2rWr/P7WrVtx6tSpaq3GABPhPXv2hNFohNls\nxpw5c6xavT355JMoKCjA+PHjYTKZYDKZMGTIkGotoo5Q3TNqKpBwIwiCsENkZCQSExNhMBiwa9cu\n/PDDD1aB45ZoNBo8++yz2LRpE4qLi2E2m/Hoo49i+/btVuNcXV3x6aef4saNGzhy5Ah+/fVXfPzx\nx0hMTMSOHTvQrl07eewHH3xgE1dkaTGriZdffhmvv/46vvvuO0RHR2Pw4MFW8UiTJk3CpEmTHJ6v\nMpb9O+/1vJMnT+Kll17CnDlzMHToUJv3lyxZgjlz5uDGjRtYuXIlXn31VXzxxRd2rZ9VXeuFF16Q\n/92xY0c8+OCD6NOnDzZv3owZM2bAbDYDADp16oS///3vAIAuXbpAp9MhMTFRFgKCIMDb2xsrVqyA\nUsm+QsvKyjB16lQsXbrUqtH8jh07UFpait9++w3vvPMOVq5ciblz5wJgiQkGgwGJiYlo3749AObi\ni4yMxP/+9z888cQTVvdy7do1xMTE4Omnn7a7b6+++ipiYmKQmZmJNWvWYMqUKdi5cye0Wi0A9kuH\n5f1369ZNTrwYOXKk/F7fvn2RnJyM/Px8fPPNN5g1axY2b96Mrl274sqVK1iyZAm2bNli9xcYS7Ra\nLZKTk1FaWooTJ05g2bJl8Pf3l3u7Hj16FMuXL8fChQvx0EMPITMzE2+//Tb+9re/2QhgR6npGTUV\nSLgRBEHYQaPRoG3btgDYF921a9cQFxeHDz74wO748ePH4y9/+QvS09MxduxYm8BvS4KDgzF27FiM\nHTsWr7/+Ovr164fVq1dj5cqV8piWLVvK178bxo4di4EDB+LQoUM4fPgwXnjhBTz++OP46KOPHJ7D\nz8/PxrVpNBqRl5dnY1GrfJ5ldiAA+XXl844cOYKJEydi+vTpmDFjRpXz+fn5ITw8HBEREejRowd+\n+OEHDBo0CP7+/sjNzYXZbLYSctnZ2TauQkuaN2+OsLAw3Lx5EwDg4+MDlUplJZ4BoH379igsLERe\nXh68vLzg5+eH4OBgWbQBkGPU0tPTrYSbFAPYoUMHKBQK/N///R+mTZsGNzc3+Pv7g+M4hIeHy+N9\nfX3h7e0tr0ni4sWLiImJwdChQ6sMuPf29oa3tzdCQ0PRq1cvdOnSBdv/v717D4rqvv8//mRBRKAi\nd7XE+C1qFRtFq1RtNCpekpoopdaM03G0naiMoDMhXkJsBsdEgxciYsXYqRrEGhqbaGq1mXgZpZ2o\nIyBmlLFBiDNekNsqcvEC7Pn94XB+WQE1FlkWX48ZZ3bPfs7Z99m3n/Ht+Xw+53z+ubkY5EG9e/cm\nICCAy5cv22339PQ0/96Fh4eTn59PWloaW7ZsIScnh5s3b/LKK6+Y7W02m3mun332GcOHDwfAYrGY\nxwkLC6OyspK1a9eahduaNWt45ZVXmDNnjtnGy8uL6Oho3nrrrR/8d/9xfqOOQnPcxGFKSy2sW+fN\n4sU+rFvnTWmp/jpK+/XWW2+xZ88ezp492+znffv2ZfDgwWRnZzNz5szHPm5jMfA0FlsEBwfz+uuv\nk5qaai5eeHD49mGGDx9Obm6u3T5ZWVnYbDbzH+iW9jt27JjdtmPHjhESEmI3THrw4EFmzZpFfHx8\ni0XbgxoLhcZVuMOGDaOurs5clAFQWVnJmTNnHhpjTU0N3333nXkVs1OnTgwZMoTCwkK7doWFhXTt\n2pVu3boB9+dmXbp0ybxC19gGICQk5KFx22w26urqgPuLBQzDoKioyGxjtVqxWq12w9p5eXn85je/\n4bXXXiMpKemxr3QahtFkpfL3FRcXU1FR8cgJ8TabzTzOyy+/zJEjR/jqq6/MP5MmTSIiIoKvvvrK\nHJZ/1HEAamtrm0wFaHz/Q9dMPulv5Kx0xU0corTUwptvduP2bRcsFigqciMvz50NG24SFGRzdHgi\nTfTp04cJEybwwQcfkJmZ2Wyb3bt3c+fOHburLt+XnJxMTU0NkZGRPPfcc9TU1LBnzx4uXLhgN/8H\n7q+MfHAemaenpzn09SjLly9n/PjxhIaGcvfuXQ4ePEjPnj3N/Xfs2MGOHTvIyspq8Ri//vWvSUlJ\nITY2lmXLlnHz5k2WL1/O1KlT7VaUjhkzxm7ode7cuUybNo2kpCSmT5/OmTNn2LFjB4mJieY++/fv\nZ+HChcTGxhIdHW2eq6urK/7+/gAcOHCA2tpaXnjhBby9vSkqKiI5OZkePXqYNxsODQ1l8uTJJCQk\nsH79en70ox+xZs0aunfvztSpUwG4dOkSf//734mMjCQwMJArV66QnJwMYHdvsLi4OGbPns2GDRuI\nioqioKCA1NRUu9zExMTwz3/+k+XLl/PGG29QUlLCe++9x/Tp083i7qOPPqJPnz785Cc/wcXFhW++\n+YZVq1YxadIkfHx8gPtz7lJTU1m8eDErV67Ezc2N1atX07t3b3Nhx8mTJ5k9ezZTpkwhLi7O7ipm\n45zBr7/+moKCAoYNG0a3bt24du0amzdvxmKxmFfGsrOzyc7O5pe//CW+vr5cvHiR1atX8+Mf/9hs\nU1ZWRnp6OuPHjycoKIjKykq++OIL/vOf/5jzDn18fMz4G3Xt2pV79+7Rv39/c9v69euJiIjg+eef\np66ujlOnTpGWlmb3W0+ePJk//elPhIeHM2LECIqLi0lMTGTAgAH07t3bbHfu3Dngfn+oqakx3zcW\niY/zG3U0KtzEIdLTPc2iDcBigdu3XUhP92TJkmrHBifSggULFhAVFcW///1vRo8e3eTzLl262E30\nftCIESPIyMggPj6esrIyPD09CQ0NZdOmTURHR9u1bW6Ozpw5c1i1atVjxWoYBomJiRQXF+Ph4cHQ\noUPZtWuXeTXCarU2ubr0IC8vLzIzM3n33XeZOnUqHh4eTJkyhRUrVti1KywstFuhGB4ezrZt20hK\nSmLr1q0EBgaydOlSu2G79PR06urqSElJISUlxdweEhLCqVOnAHB3d2fLli0UFhZy9+5dunfvzpgx\nY0hLS7MrYFNTU1mxYgVvvPEGd+7cYcSIEezevdvMRadOnTh58iTp6elUVVURFBREREQEa9eutbvi\nFBkZyebNm9m4cSObNm2iR48ezJ8/n5iYGLPNwIED2blzJx988AGTJk0iMDCQV1991Zy7BvdXZL7/\n/vtcuXIFi8VCSEgIs2fPtrtRc5cuXcjMzCQxMZHp06fTuXNnRo4cSWZmprkwITMzk+rqav72t781\nuQ1G4+pTDw8P/vGPf7B27Vpqa2sJDAzkF7/4Bfv37zdXDXfu3JmDBw+yadMmamtr6dGjB2PGjCE+\nPt68R12nTp04f/48u3fvxmq10q1bN/r3709GRkaTFcKPUlVVRUJCAtevX6dz58706tWLhIQEZs2a\nZbZZtGgRrq6ubNq0iYSEBHx8fBg1ahQJCQl2V+ImT55sd+zG943n/zi/UUej+7g9Jt3/q3UtXuzD\npUtN/9/wf/9Xz7p1lU/te5XHjkF57BiUx45BeWwduo+btGvBwQ3YHhgRtdkgKKih+R1EREREhZs4\nxuzZtXTpYpjFm80GXboYzJ796GcgioiIPKs0x00cIijIxoYNN0lP96S01JWgoAZmz67VwgQREZGH\nUOEmDhMUZNNCBBERkR9AQ6UiIiIiTqJNrrilpaWRm5uLj4+Pee+c6upqNmzYQFlZGYGBgbz55pvN\n3p/o9ddfN+8XFBAQwLJly9oiZBEREZF2p00Kt7Fjx/Lyyy+zefNmc9u+fft44YUXiIqKYt++fezb\nt8/uWXKN3N3dWbduXVuEKSIiItKutclQaVhYWJOraadPn+all14C4KWXXuL06dNtEYqIiIiI03LY\n4oTKykrzsTC+vr7cunWr2XZ1dXW8/fbbuLq6Mm3aNCIiIlo85uHDhzl8+DAASUlJBAQEtFq8bm5u\nrXq8lly/Dlu3WigudqFHD4P582107/7Uv/aZ0VZ5lKdLeewYlMeOQXlsW+1+VWlaWhp+fn6UlJSw\ncuVKevXqRfcWKpkJEyYwYcIE831r3sm5Le4M/f+f32lgsUB+Pnz9taHnd7Yi3eG7Y1AeOwblsWNQ\nHltHu39ygo+PDzdu3ADgxo0bdO3atdl2fn5+AAQHBxMWFsalS5faKsQ297Dnd4qIiIg4rHAbNmwY\nx48fB+D48eMMHz68SZvq6mrq6uoAuHXrFv/9738JCQlp0zjbUkmJK5YHMmKxQGmpq2MCEhERkXal\nTYZKU1JSyM/Pp6qqipiYGGbMmEFUVBQbNmzg6NGjBAQEEB8fD0BhYSGHDh0iJiaGq1ev8uc//xmL\nxYLNZiMqKqpDF27BwQ0UFbnZFW96fqeIiIg0cjEMw3B0EE/LtWvXWu1YbTvH7f5waePzOzXHrfVo\nLkbHoDx2DMpjx6A8to7HnePW7hcnPEv0/E4RERF5GBVu7Yye3ykiIiIt0bNKRURERJyECjcRERER\nJ6HCTURERMRJqHATERERcRIq3ERERESchAo3ERERESehwk1ERETESahwExEREXESKtxEREREnIQK\nNxEREREnocJNRERExEm4GIZhODoIEREREXk0XXF7TG+//bajQ5BWoDx2DMpjx6A8dgzKY9tS4SYi\nIiLiJFS4iYiIiDgJFW6PacKECY4OQVqB8tgxKI8dg/LYMSiPbUuLE0RERESchK64iYiIiDgJN0cH\n4GhpaWnk5ubi4+NDcnIyACdOnGDPnj1cvXqV1atXExoa2uy+eXl57NixA5vNRmRkJFFRUW0ZunzP\n/5LH2NhYPDw8sFgsuLq6kpSU1Jahy/c0l8eMjAxycnJwc3MjODiYBQsW4OXl1WRf9cf243/Jo/pj\n+9FcHjMzM8nOzsbFxQUfHx8WLFiAn59fk32PHTvG559/DkB0dDRjx45ty9A7NuMZd/78eaOwsNCI\nj483t12+fNm4evWqkZiYaFy8eLHZ/RoaGoy4uDjj+vXrRl1dnbF48WLj8uXLbRW2POBJ82gYhrFg\nwQKjsrKyLcKUR2guj3l5eUZ9fb1hGIaRkZFhZGRkNNlP/bF9edI8Gob6Y3vSXB5ramrM1wcOHDC2\nbt3aZL+qqiojNjbWqKqqsnstreOZHyoNCwvD29vbbltISAg9e/Z86H4XL16ke/fuBAcH4+bmxqhR\nozh9+vTTDFUe4knzKO1Lc3kcPHgwrq6uAPTr1w+r1dpkP/XH9uVJ8yjtS3N59PT0NF/fvXsXFxeX\nJvvl5eUxaNAgvL298fb2ZtCgQeTl5T31eJ8Vz/xQ6ZOyWq34+/ub7/39/SkoKHBgRPK/WLVqFQAT\nJ07UCql27OjRo4waNarJdvVH59JSHhupP7Zvn3zyCVlZWXh6epKYmNjk8wf7o5+fnwr1VqTC7QkZ\nzQXydyEAAAg7SURBVCzGbe5/HtL+vffee/j5+VFZWcn7779Pz549CQsLc3RY8oDPP/8cV1dXRo8e\n3eQz9Ufn8bA8gvqjM5g5cyYzZ85k7969fPnll8yYMeOR+6g/tp5nfqj0Sfn7+1NRUWG+r6iowNfX\n14ERyZNqnFjr4+PD8OHDuXjxooMjkgcdO3aMnJwcFi1a1Ow/AOqPzuFReQT1R2fy4osvcurUqSbb\n/fz87Pqj1WpVf2xFKtyeUGhoKMXFxZSWllJfX8/XX3/NsGHDHB2W/EB37tzh9u3b5utvvvmGXr16\nOTgq+b68vDy++OILli1bRufOnZtto/7Y/j1OHtUf27/i4mLzdXZ2drPziMPDwzl79izV1dVUV1dz\n9uxZwsPD2zLMDu2ZvwFvSkoK+fn5VFVV4ePjw4wZM/D29mb79u3cunULLy8vevfuzfLly7FarWzd\nupWEhAQAcnNzSU9Px2azMW7cOKKjox18Ns+uJ81jSUkJ69evB6ChoYEXX3xReXSg5vK4d+9e6uvr\nzUnSffv2Zd68eeqP7diT5lH9sX1pLo+5ubkUFxfj4uJCQEAA8+bNw8/Pj8LCQg4dOkRMTAxwfx7j\n3r17gfu3Axk3bpwjT6VDeeYLNxERERFnoaFSERERESehwk1ERETESahwExEREXESKtxEREREnIQK\nNxEREREnocJNRDqs0tJSZsyYQUNDAwCrV6/m2LFjT/17P/30U1JTU1vlWOXl5cyaNQubzdYqxxMR\n56ZHXomIQ8XGxnLz5k0sFgseHh4MGTKEP/zhD3h4eLT6d73zzjuPHdP8+fMZNGhQq8dw/vx5Vq5c\nibu7Oy4uLvj6+hIVFdXifa4CAgLIyMho9ThExDmpcBMRh1u2bBmDBg3CarWyatUqPvvsM373u9/Z\ntTEMA8MwsFicf6DA19eXjz76CMMwOH36NB9++CF9+/YlJCTErl1DQwOurq4OilJE2iMVbiLSbvj5\n+REeHs7ly5cBWLFiBT/96U/Jz8+nqKiI5ORkunbtSnp6OmfOnMHFxYVx48YxY8YMLBYLNpuNXbt2\ncfz4cbp06cKrr75qd/wVK1YwevRoIiMjATh8+DAHDhygoqICf39/Fi5cyIEDBygvL2fNmjVYLBam\nT5/OtGnT+Pbbb9m5cydXrlwhMDCQOXPmMHDgQOD+kOzmzZv57rvv6Nu3b7OPAWqOi4sLEREReHl5\nceXKFdzd3YmLiyMmJoY9e/YQFBREbGwscXFxfPLJJ7i6ulJdXc3OnTs5e/Ys9+7dY8CAASxduhSA\nnJwcMjMzKSsrIyQkhLlz5/L888+3VnpEpB1Q4SYi7UZ5eTlnzpwhIiLC3JaVlcU777xDz549MQyD\nDz/8kG7dupGamsrdu3dJSkrC39+fiRMncvjwYXJzc1mzZg0eHh4kJye3+F0nTpxgz549LFmyhNDQ\nUEpKSnB1dWXhwoVcuHDBbqjUarWSlJREXFwc4eHhnDt3juTkZFJSUujatSsbN26kX79+/PGPf6Sg\noICkpKTHelaqzWYjOzub2tpau2dy5ufns2HDBiwWCzdv3rTbZ9OmTea5eXh48O233wJQVFTEli1b\nWLZsGaGhoWRlZbF27VpSUlLo1KnTD8qDiLRfKtxExOHWrVuHq6srnp6eDB061O75lGPHjuW5554D\n4ObNm+Tl5fHxxx/j7u6Oh4cHU6ZM4ciRI0ycOJETJ07wq1/9ioCAAACioqI4f/58s9959OhRpk2b\nRp8+fQDo3r17i/FlZWUxZMgQhg4dCsCgQYMIDQ0lNzeXn/3sZxQWFvLuu+/SqVMnwsLC+PnPf/7Q\n871x4wZz5swxn/cYFxdHz549KS0tBeC3v/1ts3P8bty4QV5eHtu2bTOf+RkWFgbAkSNHmDBhAn37\n9jV/t71791JQUGC2ERHnp8JNRBxuyZIlLS4E8Pf3N1+Xl5fT0NDAvHnzzG2GYZhtbty4YRZtAIGB\ngS1+Z3l5OcHBwY8VX3l5OSdPniQnJ8fc1tDQwMCBA7FarXh5edkVWoGBgZSXl7d4vMY5bi35/jl/\nX0VFBd7e3mbR9mCMx48f58svvzS31dfXY7VaH3puIuJcVLiJSLvm4uJivvb398fNzY1t27Y1O2nf\n19fXrmB6WPEUEBBASUnJY8Xg7+/P6NGjiYmJafJZWVkZNTU13LlzxyzeHva9j+P75/xgHNXV1dTU\n1ODl5dXks+joaLurlSLS8Tj/8iwReWb4+voyePBgdu7cSW1tLTabjevXr5Ofnw/AyJEj+de//kVF\nRQXV1dXs27evxWONHz+e/fv3U1RUhGEYXL9+nbKyMgC6detmDlsCjB49mpycHPLy8rDZbNy7d4/z\n589TUVFBYGAgoaGhfPrpp9TX13PhwgW7K3Otff7h4eH85S9/obq6mvr6evPcIyMjOXToEAUFBRiG\nwZ07d8jNzeX27dtPJRYRcQxdcRMRpxIXF8df//pX4uPjuX37NsHBwUybNg24X7xcu3aNJUuW0KVL\nF1577TXOnTvX7HFGjhxJVVUVGzduxGq1EhQURFxcHIGBgURFRbF9+3Z27dpFdHQ0U6dOZenSpeza\ntYuNGzdisVjo06cPc+fOBWDRokVs3ryZ3//+9/Tr148xY8ZQU1PzVM5/4cKFfPzxx7z55pvU19cz\ncOBAwsLCCA0NZf78+Wzfvp3i4mLc3d3p378/AwYMeCpxiIhjuBiGYTg6CBERERF5NA2VioiIiDgJ\nFW4iIiIiTkKFm4iIiIiTUOEmIiIi4iRUuImIiIg4CRVuIiIiIk5ChZuIiIiIk1DhJiIiIuIkVLiJ\niIiIOIn/ByGac1pUxy4hAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e570c080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PxvXXX4/x48eHTEeuXLkSs2bNwvz58zF16lTExcW1q3XX1gsvvABN0zB58mTcfPPNmDlz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IiIiIdQ4SYiIiLiIUyGYRjuDkJERERE7k933B7Qm2++6e4QpAsoj72D8tg7KI+eTzns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\nPMR/AONzcCUtVGMEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e578e198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6KhxM7atIRyhwI4QQ0idC3Q5Ku96uXWZUV4tISFD0jQC9KXzbUdarsVHA2rV9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TBhwgT8v//3/9C6detKt9u9ezfat2+Pnj17YurUqarJCnL6Ta/Xq/YxGAw4evSo6r1ly5aB4zhM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\niItQ4SYiIiLiIlS4iYiIiLiI/wNgf7AlUeS+yQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e5be2d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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zIsGE9ASaKiWEEDKg9cT0o/catiFDeDBWXGwyvu+v3EhUFMPq1WexZYs1pJ2s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\nvwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b8e5be2e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range (-2, 3):\n",
    "    alpha = 10**i\n",
    "    rm = linear_model.Ridge(alpha=alpha)\n",
    "    ridge_model = rm.fit(X_train, y_train)\n",
    "    preds_ridge = ridge_model.predict(X_test)\n",
    "\n",
    "    plt.scatter(preds_ridge, actual_values, alpha=.75, color='b')\n",
    "    plt.xlabel('Predicted Price')\n",
    "    plt.ylabel('Actual Price')\n",
    "    plt.title('Ridge Regularization with alpha = {}'.format(alpha))\n",
    "    overlay = 'R^2 is: {}\\nRMSE is: {}'.format(\n",
    "                    ridge_model.score(X_test, y_test),\n",
    "                    mean_squared_error(y_test, preds_ridge))\n",
    "    plt.annotate(s=overlay,xy=(12.1,10.6),size='x-large')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "第六步：生成预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "submission = pd.DataFrame()\n",
    "submission['Id'] = test.Id"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "#根据上面所做的模型，从测试数据中选择特性\n",
    "feats = test.select_dtypes(\n",
    "        include=[np.number]).drop(['Id'], axis=1).interpolate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "#生成预测\n",
    "predictions = model.predict(feats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "#预测转换成正确的形式，用np.exp()来做预测，因为之前已经取了对数。\n",
    "final_predictions = np.exp(predictions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original predictions are: \n",
      " [ 11.68856268  11.71858472  12.03237122  12.18181274  12.10677502] \n",
      "\n",
      "Final predictions are: \n",
      " [ 119200.5537467   122833.458451    168109.56584159  195206.40091533\n",
      "  181094.63485685]\n"
     ]
    }
   ],
   "source": [
    "#预测的结果\n",
    "print (\"Original predictions are: \\n\", predictions[:5], \"\\n\")\n",
    "print (\"Final predictions are: \\n\", final_predictions[:5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Id</th>\n",
       "      <th>SalePrice</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1461</td>\n",
       "      <td>119200.553747</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1462</td>\n",
       "      <td>122833.458451</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1463</td>\n",
       "      <td>168109.565842</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1464</td>\n",
       "      <td>195206.400915</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1465</td>\n",
       "      <td>181094.634857</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     Id      SalePrice\n",
       "0  1461  119200.553747\n",
       "1  1462  122833.458451\n",
       "2  1463  168109.565842\n",
       "3  1464  195206.400915\n",
       "4  1465  181094.634857"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "submission['SalePrice'] = final_predictions\n",
    "submission.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "#创建预测\n",
    "submission.to_csv('submission.csv', index=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
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